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444502132410040 = 23531405287884483
BaseRepresentation
bin110010100010001011011011…
…1101101000100011010111000
32011021211222200212121012021121
41211010112313231010122320
5431230210331344110130
64213213243253315024
7162425135134042555
oct14504266755043270
92137758625535247
10444502132410040
111196a5328664a81
1241a2b5a8935a74
13161044a97867a3
147baa03756ba2c
15365c7c1c53d7a
hex19445b7b446b8

444502132410040 has 64 divisors (see below), whose sum is σ = 1032395764008960. Its totient is φ = 172064722488960.

The previous prime is 444502132410031. The next prime is 444502132410073. The reversal of 444502132410040 is 40014231205444.

It is a junction number, because it is equal to n+sod(n) for n = 444502132409978 and 444502132410005.

It is a congruent number.

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, 502113639 + ... + 502998121.

It is an arithmetic number, because the mean of its divisors is an integer number (16131183812640).

Almost surely, 2444502132410040 is an apocalyptic number.

444502132410040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444502132410040 is an abundant number, since it is smaller than the sum of its proper divisors (587893631598920).

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

444502132410040 is a wasteful number, since it uses less digits than its factorization.

444502132410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289812 (or 1289808 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 444502132410040 its reverse (40014231205444), we get a palindrome (484516363615484).

The spelling of 444502132410040 in words is "four hundred forty-four trillion, five hundred two billion, one hundred thirty-two million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 405287 810574 884483 1621148 1768966 2026435 3242296 3537932 4052870 4422415 7075864 8105740 8844830 12563897 16211480 17689660 25127794 27418973 35379320 50255588 54837946 62819485 100511176 109675892 125638970 137094865 219351784 251277940 274189730 502555880 548379460 1096758920 358469461621 716938923242 1433877846484 1792347308105 2867755692968 3584694616210 7169389232420 11112553310251 14338778464840 22225106620502 44450213241004 55562766551255 88900426482008 111125533102510 222251066205020 444502132410040