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13423400214440 = 23517231750949019
BaseRepresentation
bin1100001101010110000100…
…0000000101111110101000
31202112021010211200221212012
43003111201000011332220
53224412110423330230
644314342552335052
72553544241136056
oct303254100057650
952467124627765
1013423400214440
114305917523597
1216096656a4488
13764a8a270998
143459a5cd51d6
15184290597395
hexc3561005fa8

13423400214440 has 128 divisors (see below), whose sum is σ = 33372266976000. Its totient is φ = 4833422635008.

The previous prime is 13423400214409. The next prime is 13423400214493. The reversal of 13423400214440 is 4441200432431.

It is a junction number, because it is equal to n+sod(n) for n = 13423400214397 and 13423400214406.

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, 273816251 + ... + 273865269.

It is an arithmetic number, because the mean of its divisors is an integer number (260720835750).

Almost surely, 213423400214440 is an apocalyptic number.

13423400214440 is a gapful number since it is divisible by the number (10) 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 13423400214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686133488000).

13423400214440 is an abundant number, since it is smaller than the sum of its proper divisors (19948866761560).

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

13423400214440 is a wasteful number, since it uses less digits than its factorization.

13423400214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66579 (or 66575 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 13423400214440 its reverse (4441200432431), we get a palindrome (17864600646871).

The spelling of 13423400214440 in words is "thirteen trillion, four hundred twenty-three billion, four hundred million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 3128 3910 7820 15640 17509 35018 49019 70036 87545 98038 140072 175090 196076 245095 297653 350180 392152 402707 490190 595306 700360 805414 833323 980380 1127437 1190612 1488265 1610828 1666646 1960760 2013535 2254874 2381224 2976530 3221656 3333292 4027070 4166615 4509748 5637185 5953060 6666584 6846019 8054140 8333230 9019496 11274370 11906120 13692038 16108280 16666460 19166429 22548740 27384076 33332920 34230095 38332858 45097480 54768152 68460190 76665716 95832145 136920380 153331432 191664290 273840760 383328580 766657160 858273671 1716547342 3433094684 4291368355 6866189368 8582736710 14590652407 17165473420 19740294433 29181304814 34330946840 39480588866 58362609628 72953262035 78961177732 98701472165 116725219256 145906524070 157922355464 197402944330 291813048140 335585005361 394805888660 583626096280 671170010722 789611777320 1342340021444 1677925026805 2684680042888 3355850053610 6711700107220 13423400214440