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42013104121410 = 23519213963277829
BaseRepresentation
bin10011000110101111100000…
…01001011010011001000010
312111202102011110111012110120
421203113300021122121002
521001320314123341120
6225204315324041110
711564226612535302
oct1143276011323102
9174672143435416
1042013104121410
1112428725aa7264
124866507693196
131a59a84958216
14a53633479602
154ccccd367140
hex2635f025a642

42013104121410 has 96 divisors (see below), whose sum is σ = 106425684267840. Its totient is φ = 10613038490496.

The previous prime is 42013104121393. The next prime is 42013104121487. The reversal of 42013104121410 is 1412140131024.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151080376 + ... + 151358204.

It is an arithmetic number, because the mean of its divisors is an integer number (1108600877790).

Almost surely, 242013104121410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42013104121410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53212842133920).

42013104121410 is an abundant number, since it is smaller than the sum of its proper divisors (64412580146430).

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

42013104121410 is a wasteful number, since it uses less digits than its factorization.

42013104121410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291840 (or 291821 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 42013104121410 its reverse (1412140131024), we get a palindrome (43425244252434).

The spelling of 42013104121410 in words is "forty-two trillion, thirteen billion, one hundred four million, one hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1805 2166 3610 5415 10830 13963 27926 41889 69815 83778 139630 209445 265297 277829 418890 530594 555658 795891 833487 1326485 1389145 1591782 1666974 2652970 2778290 3979455 4167435 5040643 5278751 7958910 8334870 10081286 10557502 15121929 15836253 25203215 26393755 30243858 31672506 50406430 52787510 75609645 79181265 100296269 151219290 158362530 200592538 300888807 501481345 601777614 1002962690 1504444035 3008888070 3879326327 7758652654 11637978981 19396631635 23275957962 38793263270 58189894905 73707200213 116379789810 147414400426 221121600639 368536001065 442243201278 737072002130 1105608003195 1400436804047 2211216006390 2800873608094 4201310412141 7002184020235 8402620824282 14004368040470 21006552060705 42013104121410