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114161146320 = 24351347778513
BaseRepresentation
bin110101001010010001…
…0001101100111010000
3101220200002100010000110
41222110202031213100
53332300223140240
6124240033321320
711151006506244
oct1522442154720
9356602303013
10114161146320
1144462a99a11
121a160406240
13a9c4620a70
14574dac4424
152e8259ec80
hex1a9488d9d0

114161146320 has 160 divisors (see below), whose sum is σ = 389232087552. Its totient is φ = 27503271936.

The previous prime is 114161146291. The next prime is 114161146327. The reversal of 114161146320 is 23641161411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114161146327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242617 + ... + 535896.

Almost surely, 2114161146320 is an apocalyptic number.

114161146320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114161146320 is an abundant number, since it is smaller than the sum of its proper divisors (275070941232).

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

114161146320 is a wasteful number, since it uses less digits than its factorization.

114161146320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778589 (or 778583 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 114161146320 in words is "one hundred fourteen billion, one hundred sixty-one million, one hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 47 48 52 60 65 78 80 94 104 120 130 141 156 188 195 208 235 240 260 282 312 376 390 470 520 564 611 624 705 752 780 940 1040 1128 1222 1410 1560 1833 1880 2256 2444 2820 3055 3120 3666 3760 4888 5640 6110 7332 9165 9776 11280 12220 14664 18330 24440 29328 36660 48880 73320 146640 778513 1557026 2335539 3114052 3892565 4671078 6228104 7785130 9342156 10120669 11677695 12456208 15570260 18684312 20241338 23355390 30362007 31140520 36590111 37368624 40482676 46710780 50603345 60724014 62281040 73180222 80965352 93421560 101206690 109770333 121448028 146360444 151810035 161930704 182950555 186843120 202413380 219540666 242896056 292720888 303620070 365901110 404826760 439081332 475671443 485792112 548851665 585441776 607240140 731802220 809653520 878162664 951342886 1097703330 1214480280 1427014329 1463604440 1756325328 1902685772 2195406660 2378357215 2428960560 2854028658 2927208880 3805371544 4390813320 4756714430 5708057316 7135071645 7610743088 8781626640 9513428860 11416114632 14270143290 19026857720 22832229264 28540286580 38053715440 57080573160 114161146320