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351320142140 = 2251129431127763
BaseRepresentation
bin1010001110011000100…
…11111111000100111100
31020120211002211100221022
411013030103333010330
521224000424022030
6425221053523312
734245016636112
oct5071423770474
91216732740838
10351320142140
11125aa3074710
12581084a3538
132718b239616
141300ad17ab2
159212dc1de5
hex51cc4ff13c

351320142140 has 96 divisors (see below), whose sum is σ = 834534005760. Its totient is φ = 123060358400.

The previous prime is 351320142139. The next prime is 351320142157. The reversal of 351320142140 is 41241023153.

It is a happy number.

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, 2685899 + ... + 2813661.

It is an arithmetic number, because the mean of its divisors is an integer number (8693062560).

Almost surely, 2351320142140 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 351320142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417267002880).

351320142140 is an abundant number, since it is smaller than the sum of its proper divisors (483213863620).

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

351320142140 is a wasteful number, since it uses less digits than its factorization.

351320142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128243 (or 128241 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 351320142140 its reverse (41241023153), we get a palindrome (392561165293).

The spelling of 351320142140 in words is "three hundred fifty-one billion, three hundred twenty million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 431 580 638 862 1276 1595 1724 2155 3190 4310 4741 6380 8620 9482 12499 18964 23705 24998 47410 49996 62495 94820 124990 127763 137489 249980 255526 274978 511052 549956 638815 687445 1277630 1374890 1405393 2555260 2749780 2810786 3705127 5621572 7026965 7410254 14053930 14820508 18525635 28107860 37051270 40756397 55065853 74102540 81512794 110131706 163025588 203781985 220263412 275329265 407563970 550658530 605724383 815127940 1101317060 1211448766 1596909737 2422897532 3028621915 3193819474 6057243830 6387638948 7984548685 12114487660 15969097370 17566007107 31938194740 35132014214 70264028428 87830035535 175660071070 351320142140