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140213111200420 = 225291033301177723
BaseRepresentation
bin11111111000010111101000…
…101011111001101010100100
3200101110020112210120012212011
4133320113220223321222210
5121334222422431403140
61214113003011404004
741351030414432146
oct3770275053715244
9611406483505764
10140213111200420
1140749056a19375
12138862a72b3604
13603106916711b
14268a4ca802c96
1511323e8a2acea
hex7f85e8af9aa4

140213111200420 has 96 divisors (see below), whose sum is σ = 305000951713920. Its totient is φ = 54080186280960.

The previous prime is 140213111200403. The next prime is 140213111200433. The reversal of 140213111200420 is 24002111312041.

It is a junction number, because it is equal to n+sod(n) for n = 140213111200391 and 140213111200400.

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, 1803971679 + ... + 1804049401.

It is an arithmetic number, because the mean of its divisors is an integer number (3177093247020).

Almost surely, 2140213111200420 is an apocalyptic number.

140213111200420 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 140213111200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152500475856960).

140213111200420 is an abundant number, since it is smaller than the sum of its proper divisors (164787840513500).

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

140213111200420 is a wasteful number, since it uses less digits than its factorization.

140213111200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81805 (or 81803 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 140213111200420 its reverse (24002111312041), we get a palindrome (164215222512461).

The spelling of 140213111200420 in words is "one hundred forty trillion, two hundred thirteen billion, one hundred eleven million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1033 2066 3011 4132 5165 6022 10330 12044 15055 20660 29957 30110 59914 60220 77723 87319 119828 149785 155446 174638 299570 310892 349276 388615 436595 599140 777230 873190 1554460 1746380 2253967 3110363 4507934 6220726 9015868 11269835 12441452 15551815 22539670 31103630 45079340 62207260 80287859 90200527 160575718 180401054 234023953 321151436 360802108 401439295 451002635 468047906 802878590 902005270 936095812 1170119765 1605757180 1804010540 2328347911 2340239530 4656695822 4680479060 6786694637 9313391644 11641739555 13573389274 23283479110 27146778548 33933473185 46566958220 67866946370 135733892740 241746743449 483493486898 966986973796 1208733717245 2417467434490 4834934868980 7010655560021 14021311120042 28042622240084 35053277800105 70106555600210 140213111200420