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140213324000420 = 2251117345710844719
BaseRepresentation
bin11111111000010111110101…
…010111101010110010100100
3200101110021002121222120120122
4133320113311113222302210
5121334223341421003140
61214113040052421112
741351035610260256
oct3770276527526244
9611407077876518
10140213324000420
1140749156054140
1213886346617798
1360310a1283598
14268a50ab97cd6
15113240c562ab5
hex7f85f55eaca4

140213324000420 has 96 divisors (see below), whose sum is σ = 340209450846720. Its totient is φ = 47973562122240.

The previous prime is 140213324000389. The next prime is 140213324000447. The reversal of 140213324000420 is 24000423312041.

It is a self number, because there is not a number n which added to its sum of digits gives 140213324000420.

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, 7506821 + ... + 18351539.

It is an arithmetic number, because the mean of its divisors is an integer number (3543848446320).

Almost surely, 2140213324000420 is an apocalyptic number.

140213324000420 is a gapful number since it is divisible by the number (10) 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 140213324000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170104725423360).

140213324000420 is an abundant number, since it is smaller than the sum of its proper divisors (199996126846300).

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

140213324000420 is a wasteful number, since it uses less digits than its factorization.

140213324000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10848213 (or 10848211 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 140213324000420 its reverse (24000423312041), we get a palindrome (164213747312461).

The spelling of 140213324000420 in words is "one hundred forty trillion, two hundred thirteen billion, three hundred twenty-four million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3457 3740 6914 13828 17285 34570 38027 58769 69140 76054 117538 152108 190135 235076 293845 380270 587690 646459 760540 1175380 1292918 2585836 3232295 6464590 10844719 12929180 21689438 43378876 54223595 108447190 119291909 184360223 216894380 238583818 368720446 477167636 596459545 737440892 921801115 1192919090 1843602230 2027962453 2385838180 3687204460 4055924906 8111849812 10139812265 20279624530 37490193583 40559249060 74980387166 149960774332 187450967915 374901935830 412392129413 637333290911 749803871660 824784258826 1274666581822 1649568517652 2061960647065 2549333163644 3186666454555 4123921294130 6373332909110 7010666200021 8247842588260 12746665818220 14021332400042 28042664800084 35053331000105 70106662000210 140213324000420