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1130140202432 = 26293596172749
BaseRepresentation
bin10000011100100001100…
…110101111010111000000
311000001002102011200200112
4100130201212233113000
5122004011342434212
62223102414410452
7144435633135563
oct20344146572700
94001072150615
101130140202432
113a63207551aa
12163041800a28
138275821b897
143c9b03aa4da
151e5e6a71422
hex107219af5c0

1130140202432 has 112 divisors (see below), whose sum is σ = 2331034200000. Its totient is φ = 542985805824.

The previous prime is 1130140202413. The next prime is 1130140202441. The reversal of 1130140202432 is 2342020410311.

It is a junction number, because it is equal to n+sod(n) for n = 1130140202398 and 1130140202407.

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, 411108194 + ... + 411110942.

Almost surely, 21130140202432 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 1130140202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165517100000).

1130140202432 is an abundant number, since it is smaller than the sum of its proper divisors (1200893997568).

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

1130140202432 is a wasteful number, since it uses less digits than its factorization.

1130140202432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1130140202432 its reverse (2342020410311), we get a palindrome (3472160612743).

The spelling of 1130140202432 in words is "one trillion, one hundred thirty billion, one hundred forty million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 359 464 617 718 928 1234 1436 1856 2468 2749 2872 4936 5498 5744 9872 10411 10996 11488 17893 19744 20822 21992 22976 35786 39488 41644 43984 71572 79721 83288 87968 143144 159442 166576 175936 221503 286288 318884 333152 443006 572576 637768 666304 886012 986891 1145152 1275536 1696133 1772024 1973782 2551072 3392266 3544048 3947564 5102144 6423587 6784532 7088096 7895128 12847174 13569064 14176192 15790256 25694348 27138128 28619839 31580512 49187857 51388696 54276256 57239678 63161024 98375714 102777392 108552512 114479356 196751428 205554784 228958712 393502856 411109568 457917424 608911747 787005712 915834848 1217823494 1574011424 1831669696 2435646988 3148022848 4871293976 9742587952 17658440663 19485175904 35316881326 38970351808 70633762652 141267525304 282535050608 565070101216 1130140202432