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1002413545424 = 241741791137803
BaseRepresentation
bin11101001011001001000…
…00001101011111010000
310112211101220221020101022
432211210200031133100
5112410420331423144
62044300305055012
7132264512356424
oct16454440153720
93484356836338
101002413545424
1135713734a335
12142336327468
13736b1317a25
1436734bd0b84
151b11d5b5cee
hexe96480d7d0

1002413545424 has 80 divisors (see below), whose sum is σ = 2133245963520. Its totient is φ = 454392606720.

The previous prime is 1002413545411. The next prime is 1002413545433. The reversal of 1002413545424 is 4245453142001.

It is a happy number.

It is a super-2 number, since 2×10024135454242 (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 15 ways as a sum of consecutive naturals, for example, 312107 + ... + 1449909.

It is an arithmetic number, because the mean of its divisors is an integer number (26665574544).

Almost surely, 21002413545424 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 1002413545424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066622981760).

1002413545424 is an abundant number, since it is smaller than the sum of its proper divisors (1130832418096).

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

1002413545424 is a wasteful number, since it uses less digits than its factorization.

1002413545424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137948 (or 1137942 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 1002413545424 its reverse (4245453142001), we get a palindrome (5247866687425).

The spelling of 1002413545424 in words is "one trillion, two billion, four hundred thirteen million, five hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 41 68 79 82 136 158 164 272 316 328 632 656 697 1264 1343 1394 2686 2788 3239 5372 5576 6478 10744 11152 12956 21488 25912 51824 55063 110126 220252 440504 881008 1137803 2275606 4551212 9102424 18204848 19342651 38685302 46649923 77370604 89886437 93299846 154741208 179772874 186599692 309482416 359545748 373199384 719091496 746398768 793048691 1438182992 1528069429 1586097382 3056138858 3172194764 3685343917 6112277716 6344389528 7370687834 12224555432 12688779056 14741375668 24449110864 29482751336 58965502672 62650846589 125301693178 250603386356 501206772712 1002413545424