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440634401650134 = 2321719117834228363
BaseRepresentation
bin110010000110000010011000…
…0111111000111010111010110
32010210011020102001211002011200
41210030010300333013113112
5430223323223310301014
64201052352152213330
7161545533146033226
oct14414046077072726
92123136361732150
10440634401650134
1111844400046417a
1241505a9569a246
1315bb3851a27bc3
147ab4b66c3a086
1535e1da2e54a09
hex190c130fc75d6

440634401650134 has 96 divisors (see below), whose sum is σ = 1016729811062784. Its totient is φ = 137437325372160.

The previous prime is 440634401650063. The next prime is 440634401650139. The reversal of 440634401650134 is 431056104436044.

440634401650134 is a `hidden beast` number, since 4 + 4 + 0 + 63 + 4 + 40 + 16 + 501 + 34 = 666.

It is a super-2 number, since 2×4406344016501342 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 440634401650134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440634401650139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102095037 + ... + 106323399.

It is an arithmetic number, because the mean of its divisors is an integer number (10590935531904).

Almost surely, 2440634401650134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440634401650134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508364905531392).

440634401650134 is an abundant number, since it is smaller than the sum of its proper divisors (576095409412650).

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

440634401650134 is a wasteful number, since it uses less digits than its factorization.

440634401650134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230362 (or 4230359 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 440634401650134 in words is "four hundred forty trillion, six hundred thirty-four billion, four hundred one million, six hundred fifty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 191 306 382 573 1146 1719 1783 3247 3438 3566 5349 6494 9741 10698 16047 19482 29223 30311 32094 58446 60622 90933 181866 272799 340553 545598 681106 1021659 2043318 3064977 4228363 5789401 6129954 8456726 11578802 12685089 17368203 25370178 34736406 38055267 52104609 71882171 76110534 104209218 143764342 215646513 431293026 646939539 807617333 1293879078 1615234666 2422851999 4845703998 7268555997 7539171229 13729494661 14537111994 15078342458 22617513687 27458989322 41188483983 45235027374 67852541061 82376967966 123565451949 128165910893 135705082122 247130903898 256331821786 384497732679 768995465358 1153493198037 1439981704739 2306986396074 2879963409478 4319945114217 8639890228434 12959835342651 24479688980563 25919670685302 48959377961126 73439066941689 146878133883378 220317200825067 440634401650134