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11402442125240 = 23517431133450977
BaseRepresentation
bin1010010111101101011010…
…0000110010111110111000
31111101001200210111212100012
42211323112200302332320
52443304200141001430
640130113135001052
72254541100620105
oct245732640627670
944331623455305
1011402442125240
1136a6826356131
121341a52969188
136493269a9cca
142b5c49c01aac
1514b90c69a695
hexa5ed6832fb8

11402442125240 has 128 divisors (see below), whose sum is σ = 28042371149760. Its totient is φ = 4155748122624.

The previous prime is 11402442125171. The next prime is 11402442125281. The reversal of 11402442125240 is 4252124420411.

It is a junction number, because it is equal to n+sod(n) for n = 11402442125197 and 11402442125206.

It is a congruent number.

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, 1578632 + ... + 5029608.

Almost surely, 211402442125240 is an apocalyptic number.

11402442125240 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 11402442125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021185574880).

11402442125240 is an abundant number, since it is smaller than the sum of its proper divisors (16639929024520).

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

11402442125240 is a wasteful number, since it uses less digits than its factorization.

11402442125240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451161 (or 3451157 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

Adding to 11402442125240 its reverse (4252124420411), we get a palindrome (15654566545651).

The spelling of 11402442125240 in words is "eleven trillion, four hundred two billion, four hundred forty-two million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 113 136 170 172 215 226 340 344 430 452 565 680 731 860 904 1130 1462 1720 1921 2260 2924 3655 3842 4520 4859 5848 7310 7684 9605 9718 14620 15368 19210 19436 24295 29240 38420 38872 48590 76840 82603 97180 165206 194360 330412 413015 660824 826030 1652060 3304120 3450977 6901954 13803908 17254885 27607816 34509770 58666609 69019540 117333218 138039080 148392011 234666436 293333045 296784022 389960401 469332872 586666090 593568044 741960055 779920802 1173332180 1187136088 1483920110 1559841604 1949802005 2346664360 2522664187 2967840220 3119683208 3899604010 5045328374 5935680440 6629326817 7799208020 10090656748 12613320935 13258653634 15598416040 16768297243 20181313496 25226641870 26517307268 33146634085 33536594486 50453283740 53034614536 66293268170 67073188972 83841486215 100906567480 132586536340 134146377944 167682972430 265173072680 285061053131 335365944860 570122106262 670731889720 1140244212524 1425305265655 2280488425048 2850610531310 5701221062620 11402442125240