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433140232204240 = 245112321400209101
BaseRepresentation
bin110001001111100000101000…
…1101011011010111111010000
32002210121210122111212020011021
41202133001101223122333100
5423233032143421013430
64133113513052325224
7160143230510551351
oct14237012153327720
92083553574766137
10433140232204240
11116014817155aa0
12406b558b473814
131578bc44200532
1478d6155cc1d28
153511e8893907a
hex189f051adafd0

433140232204240 has 80 divisors (see below), whose sum is σ = 1146366401175936. Its totient is φ = 150657472064000.

The previous prime is 433140232204231. The next prime is 433140232204243. The reversal of 433140232204240 is 42402232041334.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4331402322042402 (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 433140232204196 and 433140232204205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433140232204243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10700084311 + ... + 10700124790.

Almost surely, 2433140232204240 is an apocalyptic number.

433140232204240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

433140232204240 is an abundant number, since it is smaller than the sum of its proper divisors (713226168971696).

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

433140232204240 is a wasteful number, since it uses less digits than its factorization.

433140232204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21400209148 (or 21400209142 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 433140232204240 its reverse (42402232041334), we get a palindrome (475542464245574).

The spelling of 433140232204240 in words is "four hundred thirty-three trillion, one hundred forty billion, two hundred thirty-two million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 20240 21400209101 42800418202 85600836404 107001045505 171201672808 214002091010 235402300111 342403345616 428004182020 470804600222 492204809323 856008364040 941609200444 984409618646 1177011500555 1712016728080 1883218400888 1968819237292 2354023001110 2461024046615 3766436801776 3937638474584 4708046002220 4922048093230 5414252902553 7875276949168 9416092004440 9844096186460 10828505805106 18832184008880 19688192372920 21657011610212 27071264512765 39376384745840 43314023220424 54142529025530 86628046440848 108285058051060 216570116102120 433140232204240