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114341154440 = 235471071314339
BaseRepresentation
bin110101001111101000…
…0111000111010001000
3101221010122001110201212
41222133100320322020
53333132313420230
6124305543432252
711155323530252
oct1523720707210
9357118043655
10114341154440
1144545667757
121a1b0755688
13aa229c8546
145769980cd2
152e932aa895
hex1a9f438e88

114341154440 has 128 divisors (see below), whose sum is σ = 267282892800. Its totient is φ = 43996343040.

The previous prime is 114341154413. The next prime is 114341154457. The reversal of 114341154440 is 44451143411.

It is a junction number, because it is equal to n+sod(n) for n = 114341154397 and 114341154406.

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, 26349791 + ... + 26354129.

It is an arithmetic number, because the mean of its divisors is an integer number (2088147600).

Almost surely, 2114341154440 is an apocalyptic number.

114341154440 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 114341154440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133641446400).

114341154440 is an abundant number, since it is smaller than the sum of its proper divisors (152941738360).

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

114341154440 is a wasteful number, since it uses less digits than its factorization.

114341154440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 114341154440 its reverse (44451143411), we get a palindrome (158792297851).

The spelling of 114341154440 in words is "one hundred fourteen billion, three hundred forty-one million, one hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 107 131 188 214 235 262 376 428 470 524 535 655 856 940 1048 1070 1310 1880 2140 2620 4280 4339 5029 5240 6157 8678 10058 12314 14017 17356 20116 21695 24628 25145 28034 30785 34712 40232 43390 49256 50290 56068 61570 70085 86780 100580 112136 123140 140170 173560 201160 203933 246280 280340 407866 464273 560680 568409 658799 815732 928546 1019665 1136818 1317598 1631464 1857092 2039330 2273636 2321365 2635196 2842045 3293995 3714184 4078660 4547272 4642730 5270392 5684090 6587990 8157320 9285460 11368180 13175980 18570920 21820831 22736360 26351960 26715223 43641662 53430446 60819763 87283324 106860892 109104155 121639526 133576115 174566648 213721784 218208310 243279052 267152230 304098815 436416620 486558104 534304460 608197630 872833240 1068608920 1216395260 2432790520 2858528861 5717057722 11434115444 14292644305 22868230888 28585288610 57170577220 114341154440