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114511213151240 = 23523201511617677
BaseRepresentation
bin11010000010010110111000…
…001011101100010000001000
3120000110011110022222022001112
4122002112320023230100020
5110002122431031314430
61043313420341505452
733056106416565353
oct3202267013542010
9500404408868045
10114511213151240
1133539a295827a4
1210a15059712288
134bb8490352599
14203c52d7bb29a
15d38a75946195
hex6825b82ec408

114511213151240 has 64 divisors (see below), whose sum is σ = 268854182933760. Its totient is φ = 43812697547520.

The previous prime is 114511213151239. The next prime is 114511213151273. The reversal of 114511213151240 is 42151312115411.

It is a super-2 number, since 2×1145112131512402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114511213151197 and 114511213151206.

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, 185081282 + ... + 185698958.

It is an arithmetic number, because the mean of its divisors is an integer number (4200846608340).

Almost surely, 2114511213151240 is an apocalyptic number.

114511213151240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114511213151240 is an abundant number, since it is smaller than the sum of its proper divisors (154342969782520).

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

114511213151240 is a wasteful number, since it uses less digits than its factorization.

114511213151240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819222 (or 819218 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 32.

Adding to 114511213151240 its reverse (42151312115411), we get a palindrome (156662525266651).

The spelling of 114511213151240 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred thirteen million, one hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 201511 403022 617677 806044 1007555 1235354 1612088 2015110 2470708 3088385 4030220 4634753 4941416 6176770 8060440 9269506 12353540 14206571 18539012 23173765 24707080 28413142 37078024 46347530 56826284 71032855 92695060 113652568 142065710 185390120 284131420 568262840 124468709947 248937419894 497874839788 622343549735 995749679576 1244687099470 2489374198940 2862780328781 4978748397880 5725560657562 11451121315124 14313901643905 22902242630248 28627803287810 57255606575620 114511213151240