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114717002031104 = 213117317439029
BaseRepresentation
bin11010000101010110100010…
…001001111110000000000000
3120001011211122010001112211212
4122011112202021332000000
5110014010410004443404
61043552132503425252
733110013152320214
oct3205264211760000
9501154563045755
10114717002031104
1133609230a87030
1210a48b0ba55228
134c019c7a8b855
142048492632944
15d3e0bc1ee06e
hex6855a227e000

114717002031104 has 112 divisors (see below), whose sum is σ = 253704822099120. Its totient is φ = 51429786255360.

The previous prime is 114717002031077. The next prime is 114717002031131. The reversal of 114717002031104 is 401130200717411.

It is an interprime number because it is at equal distance from previous prime (114717002031077) and next prime (114717002031131).

It is a super-2 number, since 2×1147170020311042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2141339 + ... + 15297690.

It is an arithmetic number, because the mean of its divisors is an integer number (2265221625885).

Almost surely, 2114717002031104 is an apocalyptic number.

It is an amenable number.

114717002031104 is an abundant number, since it is smaller than the sum of its proper divisors (138987820068016).

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

114717002031104 is an equidigital number, since it uses as much as digits as its factorization.

114717002031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17439139 (or 17439115 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

Adding to 114717002031104 its reverse (401130200717411), we get a palindrome (515847202748515).

The spelling of 114717002031104 in words is "one hundred fourteen trillion, seven hundred seventeen billion, two million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 128 146 176 256 292 352 512 584 704 803 1024 1168 1408 1606 2048 2336 2816 3212 4096 4672 5632 6424 8192 9344 11264 12848 18688 22528 25696 37376 45056 51392 74752 90112 102784 149504 205568 299008 411136 598016 822272 1644544 3289088 6578176 17439029 34878058 69756116 139512232 191829319 279024464 383658638 558048928 767317276 1116097856 1273049117 1534634552 2232195712 2546098234 3069269104 4464391424 5092196468 6138538208 8928782848 10184392936 12277076416 14003540287 17857565696 20368785872 24554152832 28007080574 35715131392 40737571744 49108305664 56014161148 71430262784 81475143488 98216611328 112028322296 142860525568 162950286976 196433222656 224056644592 325900573952 392866445312 448113289184 651801147904 785732890624 896226578368 1303602295808 1571465781248 1792453156736 2607204591616 3584906313472 5214409183232 7169812626944 10428818366464 14339625253888 28679250507776 57358501015552 114717002031104