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350405030040140 = 225437432161253763
BaseRepresentation
bin100111110101100010000011…
…1010101111101001001001100
31200221200101122000120201212202
41033223010013111331021030
5331412014000142241030
63241125503141021032
7133543633204563245
oct11753040725751114
91627611560521782
10350405030040140
11a1716a36465579
1233372a136b4778
131206a08b5b202a
1462759a0283ccc
152a79c8b7a4745
hex13eb10757d24c

350405030040140 has 96 divisors (see below), whose sum is σ = 754328650876416. Its totient is φ = 136654369367040.

The previous prime is 350405030040113. The next prime is 350405030040157. The reversal of 350405030040140 is 41040030504053.

It is a super-2 number, since 2×3504050300401402 (a number of 30 digits) contains 22 as substring.

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, 1380708899 + ... + 1380962661.

It is an arithmetic number, because the mean of its divisors is an integer number (7857590113296).

Almost surely, 2350405030040140 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 350405030040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377164325438208).

350405030040140 is an abundant number, since it is smaller than the sum of its proper divisors (403923620836276).

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

350405030040140 is a wasteful number, since it uses less digits than its factorization.

350405030040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256719 (or 256717 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 350405030040140 its reverse (41040030504053), we get a palindrome (391445060544193).

The spelling of 350405030040140 in words is "three hundred fifty trillion, four hundred five billion, thirty million, forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 743 860 1486 2161 2972 3715 4322 7430 8644 10805 14860 21610 31949 43220 63898 92923 127796 159745 185846 253763 319490 371692 464615 507526 638980 929230 1015052 1268815 1605623 1858460 2537630 3211246 5075260 6422492 8028115 10911809 16056230 21823618 32112460 43647236 54559045 69041789 109118090 138083578 188545909 218236180 276167156 345208945 377091818 548381843 690417890 754183636 942729545 1096763686 1380835780 1885459090 2193527372 2741909215 3770918180 5483818430 8107474087 10967636860 16214948174 23580419249 32429896348 40537370435 47160838498 81074740870 94321676996 117902096245 162149481740 235804192490 407447709349 471608384980 814895418698 1629790837396 2037238546745 4074477093490 8148954186980 17520251502007 35040503004014 70081006008028 87601257510035 175202515020070 350405030040140