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1213040144344 = 237417958711393
BaseRepresentation
bin10001101001101110110…
…100111010111111011000
311021222001212001002010111
4101221232310322333120
5124333301234104334
62325132444054104
7153432160046410
oct21515664727730
94258055032114
101213040144344
114284a15a0596
12177118834334
138a50a0a3b52
14429d6343640
152184991c064
hex11a6ed3afd8

1213040144344 has 128 divisors (see below), whose sum is σ = 2701307750400. Its totient is φ = 499877314560.

The previous prime is 1213040144293. The next prime is 1213040144363. The reversal of 1213040144344 is 4434410403121.

It is a super-2 number, since 2×12130401443442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 106466712 + ... + 106478104.

It is an arithmetic number, because the mean of its divisors is an integer number (21103966800).

Almost surely, 21213040144344 is an apocalyptic number.

1213040144344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213040144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350653875200).

1213040144344 is an abundant number, since it is smaller than the sum of its proper divisors (1488267606056).

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

1213040144344 is a wasteful number, since it uses less digits than its factorization.

1213040144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12113 (or 12109 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 1213040144344 its reverse (4434410403121), we get a palindrome (5647450547465).

The spelling of 1213040144344 in words is "one trillion, two hundred thirteen billion, forty million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 41 56 79 82 158 164 287 316 328 553 574 587 632 1106 1148 1174 2212 2296 2348 3239 4109 4424 4696 6478 8218 11393 12956 16436 22673 22786 24067 25912 32872 45346 45572 46373 48134 79751 90692 91144 92746 96268 159502 168469 181384 185492 192536 319004 324611 336938 370984 467113 638008 649222 673876 900047 934226 1298444 1347752 1800094 1868452 1901293 2596888 3269791 3600188 3736904 3802586 6300329 6539582 6687691 7200376 7605172 12600658 13079164 13309051 13375382 15210344 25201316 26158328 26618102 26750764 36901927 46813837 50402632 53236204 53501528 73803854 93627674 106472408 147607708 187255348 258313489 274195331 295215416 374510696 516626978 528327589 548390662 1033253956 1056655178 1096781324 1919367317 2066507912 2113310356 2193562648 3698293123 3838734634 4226620712 7396586246 7677469268 14793172492 15354938536 21661431149 29586344984 43322862298 86645724596 151630018043 173291449192 303260036086 606520072172 1213040144344