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25441427612040 = 23351136931521887
BaseRepresentation
bin1011100100011100010110…
…10000010110000110001000
310100002011202211111202010020
411302032023100112012020
511313313020432041130
6130035344104220440
75234040202413066
oct562161320260610
9110064684452106
1025441427612040
1181197156a2aa0
122a2a87676a720
13112716876442b
1463d52bbd3036
152e1bcae83e10
hex17238b416188

25441427612040 has 128 divisors (see below), whose sum is σ = 83265268101120. Its totient is φ = 6167439993600.

The previous prime is 25441427612017. The next prime is 25441427612059. The reversal of 25441427612040 is 4021672414452.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 25441427611983 and 25441427612001.

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, 48487977 + ... + 49009863.

It is an arithmetic number, because the mean of its divisors is an integer number (650509907040).

Almost surely, 225441427612040 is an apocalyptic number.

25441427612040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25441427612040 is an abundant number, since it is smaller than the sum of its proper divisors (57823840489080).

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

25441427612040 is a wasteful number, since it uses less digits than its factorization.

25441427612040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558843 (or 558839 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 25441427612040 in words is "twenty-five trillion, four hundred forty-one billion, four hundred twenty-seven million, six hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 36931 73862 110793 147724 184655 221586 295448 369310 406241 443172 521887 553965 738620 812482 886344 1043774 1107930 1218723 1477240 1565661 1624964 2031205 2087548 2215860 2437446 2609435 3131322 3249928 4062410 4175096 4431720 4874892 5218870 5740757 6093615 6262644 7828305 8124820 9749784 10437740 11481514 12187230 12525288 15656610 16249640 17222271 20875480 22963028 24374460 28703785 31313220 34444542 45926056 48748920 57407570 62626440 68889084 86111355 114815140 137778168 172222710 229630280 344445420 688890840 19273808797 38547617594 57821426391 77095235188 96369043985 115642852782 154190470376 192738087970 212011896767 231285705564 289107131955 385476175940 424023793534 462571411128 578214263910 636035690301 770952351880 848047587068 1060059483835 1156428527820 1272071380602 1696095174136 2120118967670 2312857055640 2544142761204 3180178451505 4240237935340 5088285522408 6360356903010 8480475870680 12720713806020 25441427612040