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411430113111432 = 2331728328571247209
BaseRepresentation
bin101110110001100011000100…
…1101111011110110110001000
31222221202100000222121201112110
41131203012021233132312020
5412411332332424031212
64015012215031142320
7152442562514216532
oct13543061157366610
91887670028551473
10411430113111432
1110a104592988258
123a189ab45149a0
1314875901c2986c
147385476432852
153287394beea3c
hex1763189bded88

411430113111432 has 128 divisors (see below), whose sum is σ = 1093311469929600. Its totient is φ = 128574892228608.

The previous prime is 411430113111403. The next prime is 411430113111439. The reversal of 411430113111432 is 234111311034114.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 411430113111432.

It is not an unprimeable number, because it can be changed into a prime (411430113111439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329257044 + ... + 330504252.

It is an arithmetic number, because the mean of its divisors is an integer number (8541495858825).

Almost surely, 2411430113111432 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 411430113111432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546655734964800).

411430113111432 is an abundant number, since it is smaller than the sum of its proper divisors (681881356818168).

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

411430113111432 is a wasteful number, since it uses less digits than its factorization.

411430113111432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250375 (or 1250371 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 411430113111432 its reverse (234111311034114), we get a palindrome (645541424145546).

The spelling of 411430113111432 in words is "four hundred eleven trillion, four hundred thirty billion, one hundred thirteen million, one hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 283 408 566 849 1132 1698 2264 2857 3396 4811 5714 6792 8571 9622 11428 14433 17142 19244 22856 28866 34284 38488 48569 57732 68568 97138 115464 145707 194276 291414 388552 582828 808531 1165656 1247209 1617062 2425593 2494418 3234124 3741627 4851186 4988836 6468248 7483254 9702372 9977672 13745027 14966508 19404744 21202553 27490054 29933016 41235081 42405106 54980108 63607659 82470162 84810212 109960216 127215318 164940324 169620424 254430636 329880648 352960147 508861272 705920294 1058880441 1411840588 2117760882 2823681176 3563276113 4235521764 6000322499 7126552226 8471043528 10689828339 12000644998 14253104452 18000967497 21379656678 24001289996 28506208904 36001934994 42759313356 48002579992 60575693921 72003869988 85518626712 121151387842 144007739976 181727081763 242302775684 363454163526 484605551368 726908327052 1008407139979 1453816654104 2016814279958 3025221419937 4033628559916 6050442839874 8067257119832 12100885679748 17142921379643 24201771359496 34285842759286 51428764138929 68571685518572 102857528277858 137143371037144 205715056555716 411430113111432