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351057022140 = 2235111381385159
BaseRepresentation
bin1010001101111001010…
…00010000110010111100
31020120010202201111011010
411012330220100302330
521222431044202030
6425135014155220
734235343311316
oct5067450206274
91216122644133
10351057022140
1112597859a770
1258054352b10
1327148882206
1412dc3dc47b6
1591e9c4a6b0
hex51bca10cbc

351057022140 has 96 divisors (see below), whose sum is σ = 1073098897920. Its totient is φ = 85042886400.

The previous prime is 351057022103. The next prime is 351057022181. The reversal of 351057022140 is 41220750153.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 351057022098 and 351057022107.

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, 718881 + ... + 1104039.

It is an arithmetic number, because the mean of its divisors is an integer number (11178113520).

Almost surely, 2351057022140 is an apocalyptic number.

351057022140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351057022140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536549448960).

351057022140 is an abundant number, since it is smaller than the sum of its proper divisors (722041875780).

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

351057022140 is a wasteful number, since it uses less digits than its factorization.

351057022140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386563 (or 386561 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

Adding to 351057022140 its reverse (41220750153), we get a palindrome (392277772293).

The spelling of 351057022140 in words is "three hundred fifty-one billion, fifty-seven million, twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1381 2762 4143 5524 6905 8286 13810 15191 16572 20715 27620 30382 41430 45573 60764 75955 82860 91146 151910 182292 227865 303820 385159 455730 770318 911460 1155477 1540636 1925795 2310954 3851590 4236749 4621908 5777385 7703180 8473498 11554770 12710247 16946996 21183745 23109540 25420494 42367490 50840988 63551235 84734980 127102470 254204940 531904579 1063809158 1595713737 2127618316 2659522895 3191427474 5319045790 5850950369 6382854948 7978568685 10638091580 11701900738 15957137370 17552851107 23403801476 29254751845 31914274740 35105702214 58509503690 70211404428 87764255535 117019007380 175528511070 351057022140