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447244015140 = 2232513191129921
BaseRepresentation
bin1101000001000011101…
…00100001011000100100
31120202102012112000010100
412200201310201120210
524311423431441030
6541243331224100
744212060255326
oct6404164413044
91522365460110
10447244015140
1116274765020a
1272819148030
13332374220a0
141790a889616
15b97934a360
hex6821d21624

447244015140 has 72 divisors (see below), whose sum is σ = 1460997123768. Its totient is φ = 110090833920.

The previous prime is 447244015073. The next prime is 447244015181. The reversal of 447244015140 is 41510442744.

447244015140 is a `hidden beast` number, since 4 + 4 + 72 + 440 + 1 + 5 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54017197056 + 393226818084 = 232416^2 + 627078^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 447244015095 and 447244015104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95562621 + ... + 95567300.

It is an arithmetic number, because the mean of its divisors is an integer number (20291626719).

Almost surely, 2447244015140 is an apocalyptic number.

It is an amenable number.

447244015140 is an abundant number, since it is smaller than the sum of its proper divisors (1013753108628).

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

447244015140 is a wasteful number, since it uses less digits than its factorization.

447244015140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191129949 (or 191129944 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 447244015140 its reverse (41510442744), we get a palindrome (488754457884).

The spelling of 447244015140 in words is "four hundred forty-seven billion, two hundred forty-four million, fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 191129921 382259842 573389763 764519684 955649605 1146779526 1720169289 1911299210 2293559052 2484688973 2866948815 3440338578 3822598420 4969377946 5733897630 6880677156 7454066919 8600846445 9938755892 11467795260 12423444865 14908133838 17201692890 22362200757 24846889730 29816267676 34403385780 37270334595 44724401514 49693779460 74540669190 89448803028 111811003785 149081338380 223622007570 447244015140