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103430334431144 = 23722179439727539
BaseRepresentation
bin10111100001000111000000…
…010101111011111110101000
3111120012211202211201221101102
4113201013000111323332220
5102024100311103244034
61003551123434340532
730533411051541200
oct2741070025737650
9446184684657342
10103430334431144
112aa576163aa356
12b7255a988a748
134593591a40c06
141b780aa8cd400
15be56d8a9697e
hex5e11c057bfa8

103430334431144 has 96 divisors (see below), whose sum is σ = 225757282788000. Its totient is φ = 44295258091392.

The previous prime is 103430334431117. The next prime is 103430334431159. The reversal of 103430334431144 is 441134433034301.

It is a junction number, because it is equal to n+sod(n) for n = 103430334431098 and 103430334431107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3755762927 + ... + 3755790465.

It is an arithmetic number, because the mean of its divisors is an integer number (2351638362375).

Almost surely, 2103430334431144 is an apocalyptic number.

103430334431144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103430334431144 is an abundant number, since it is smaller than the sum of its proper divisors (122326948356856).

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

103430334431144 is a wasteful number, since it uses less digits than its factorization.

103430334431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34135 (or 34124 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 103430334431144 its reverse (441134433034301), we get a palindrome (544564767465445).

The spelling of 103430334431144 in words is "one hundred three trillion, four hundred thirty billion, three hundred thirty-four million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 2179 4358 4397 8716 8794 15253 17432 17588 27539 30506 30779 35176 55078 61012 61558 106771 110156 122024 123116 192773 213542 215453 220312 246232 385546 427084 430906 771092 854168 861812 1349411 1542184 1723624 2698822 5397644 9581063 10795288 19162126 38324252 60007481 67067441 76648504 120014962 121088983 134134882 240029924 242177966 268269764 420052367 469472087 480059848 484355932 536539528 840104734 847622881 938944174 968711864 1680209468 1695245762 1877888348 2940366569 3360418936 3390491524 3755776696 5880733138 5933360167 6780983048 11761466276 11866720334 23522932552 23733440668 47466881336 263852893957 527705787914 1055411575828 1846970257699 2110823151656 3693940515398 7387881030796 12928791803893 14775762061592 25857583607786 51715167215572 103430334431144