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352145013503444 = 22767347782369149
BaseRepresentation
bin101000000010001100010011…
…0011100000111010111010100
31201011211201211110102221111222
41100010120212130013113110
5332124020441424102234
63244541104053145512
7134113431466153550
oct12004304634072724
91634751743387458
10352145013503444
11a22279527a2907
12335b409062b298
131216519482a115
1462d5ca3cd6860
152aaa1773e042e
hex14046267075d4

352145013503444 has 96 divisors (see below), whose sum is σ = 716963769446400. Its totient is φ = 148217237764992.

The previous prime is 352145013503417. The next prime is 352145013503449. The reversal of 352145013503444 is 444305310541253.

It is a super-2 number, since 2×3521450135034442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 352145013503395 and 352145013503404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352145013503449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5092519382 + ... + 5092588530.

It is an arithmetic number, because the mean of its divisors is an integer number (7468372598400).

Almost surely, 2352145013503444 is an apocalyptic number.

It is an amenable number.

352145013503444 is an abundant number, since it is smaller than the sum of its proper divisors (364818755942956).

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

352145013503444 is a wasteful number, since it uses less digits than its factorization.

352145013503444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77397 (or 77395 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

The spelling of 352145013503444 in words is "three hundred fifty-two trillion, one hundred forty-five billion, thirteen million, five hundred three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 67 134 268 347 469 694 938 1388 1876 2429 4858 7823 9716 15646 23249 31292 46498 54761 69149 92996 109522 138298 162743 219044 276596 325486 484043 524141 650972 968086 1048282 1936172 2096564 2714581 3668987 4632983 5429162 7337974 9265966 10858324 14675948 18531932 19002067 23994703 32430881 38004134 47989406 64861762 76008268 95978812 129723524 167962921 181876927 335925842 363753854 540952627 671851684 727507708 1081905254 1273138489 1607645101 2163810508 2546276978 3215290202 3786668389 5092553956 6430580404 7573336778 11253515707 15146673556 22507031414 36243826009 45014062828 72487652018 144975304036 187710561569 253706782063 375421123138 507413564126 750842246276 1014827128252 1313973930983 2627947861966 5255895723932 12576607625123 25153215250246 50306430500492 88036253375861 176072506751722 352145013503444