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343431014123440 = 24559709214147933
BaseRepresentation
bin100111000010110010100001…
…1100110100000011110110000
31200000222200110212020221211001
41032011211003212200132300
5330003233204103422230
63214230010240331344
7132224033453433655
oct11605450346403660
91600880425227731
10343431014123440
119a478303276641
1232627293913b54
1311982537346429
1460b4214d9bc2c
1529a86673630ca
hex13859439a07b0

343431014123440 has 160 divisors (see below), whose sum is σ = 813552682420800. Its totient is φ = 134787790295040.

The previous prime is 343431014123437. The next prime is 343431014123497. The reversal of 343431014123440 is 44321410134343.

It is a super-2 number, since 2×3434310141234402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 343431014123440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7164789714 + ... + 7164837646.

It is an arithmetic number, because the mean of its divisors is an integer number (5084704265130).

Almost surely, 2343431014123440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343431014123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406776341210400).

343431014123440 is an abundant number, since it is smaller than the sum of its proper divisors (470121668297360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343431014123440 is a wasteful number, since it uses less digits than its factorization.

343431014123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50855 (or 50849 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 343431014123440 its reverse (44321410134343), we get a palindrome (387752424257783).

The spelling of 343431014123440 in words is "three hundred forty-three trillion, four hundred thirty-one billion, fourteen million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 709 944 1180 1418 2141 2360 2836 3545 4282 4720 5672 7090 8564 10705 11344 14180 17128 21410 28360 34256 41831 42820 47933 56720 83662 85640 95866 126319 167324 171280 191732 209155 239665 252638 334648 383464 418310 479330 505276 631595 669296 766928 836620 958660 1010552 1263190 1517969 1673240 1917320 2021104 2526380 2828047 3035938 3346480 3834640 5052760 5656094 6071876 7589845 10105520 11312188 12143752 14140235 15179690 22624376 24287504 28280470 30359380 33984497 45248752 56560940 60718760 67968994 89560171 102624553 113121880 121437520 135937988 169922485 179120342 205249106 226243760 271875976 339844970 358240684 410498212 447800855 513122765 543751952 679689940 716481368 820996424 895601710 1026245530 1359379880 1432962736 1641992848 1791203420 2005085323 2052491060 2718759760 3582406840 4010170646 4104982120 6054848627 7164813680 8020341292 8209964240 10025426615 12109697254 16040682584 20050853230 24219394508 30274243135 32081365168 40101706460 48438789016 60548486270 72760808077 80203412920 96877578032 121096972540 145521616154 160406825840 242193945080 291043232308 363804040385 484387890160 582086464616 727608080770 1164172929232 1455216161540 2910432323080 4292887676543 5820864646160 8585775353086 17171550706172 21464438382715 34343101412344 42928876765430 68686202824688 85857753530860 171715507061720 343431014123440