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467134044340 = 225314732514931
BaseRepresentation
bin1101100110000110101…
…10111101100010110100
31122122202101010011210111
412303003112331202310
530123142303404330
6554333131432404
745515005601545
oct6630326754264
91578671104714
10467134044340
11170123a98577
127664a2b5704
13350870a4a32
14188763064cc
15c2405e232a
hex6cc35bd8b4

467134044340 has 96 divisors (see below), whose sum is σ = 1034699194368. Its totient is φ = 176888400000.

The previous prime is 467134044337. The next prime is 467134044353. The reversal of 467134044340 is 43440431764.

It is a junction number, because it is equal to n+sod(n) for n = 467134044293 and 467134044302.

It is a congruent number.

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, 94731675 + ... + 94736605.

It is an arithmetic number, because the mean of its divisors is an integer number (10778116608).

Almost surely, 2467134044340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467134044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517349597184).

467134044340 is an abundant number, since it is smaller than the sum of its proper divisors (567565150028).

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

467134044340 is a wasteful number, since it uses less digits than its factorization.

467134044340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

The spelling of 467134044340 in words is "four hundred sixty-seven billion, one hundred thirty-four million, forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 620 940 1457 2914 3251 4931 5828 6502 7285 9862 13004 14570 16255 19724 24655 29140 32510 49310 65020 98620 100781 152797 152861 201562 231757 305594 305722 403124 463514 503905 611188 611444 763985 764305 927028 1007810 1158785 1527970 1528610 2015620 2317570 3055940 3057220 4635140 4736707 7184467 9473414 14368934 16030681 18946828 23683535 28737868 32061362 35922335 47367070 64122724 71844670 80153405 94734140 143689340 160306810 320613620 496951111 753442007 993902222 1506884014 1987804444 2484755555 3013768028 3767210035 4969511110 7534420070 9939022220 15068840140 23356702217 46713404434 93426808868 116783511085 233567022170 467134044340