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234140010400 = 2552793704747
BaseRepresentation
bin1101101000001111010…
…1010000011110100000
3211101100121201220111001
43122003311100132200
512314004320313100
6255321253001344
722626131152012
oct3320365203640
9741317656431
10234140010400
1190330a2832a
1239465023254
131910531796a
14b4922c81b2
15615577cd6a
hex3683d507a0

234140010400 has 72 divisors (see below), whose sum is σ = 578829827520. Its totient is φ = 92470460160.

The previous prime is 234140010397. The next prime is 234140010421. The reversal of 234140010400 is 4010041432.

It is a super-2 number, since 2×2341400104002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1789174 + ... + 1915573.

It is an arithmetic number, because the mean of its divisors is an integer number (8039303160).

Almost surely, 2234140010400 is an apocalyptic number.

234140010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234140010400 is an abundant number, since it is smaller than the sum of its proper divisors (344689817120).

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

234140010400 is a wasteful number, since it uses less digits than its factorization.

234140010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704846 (or 3704833 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 234140010400 its reverse (4010041432), we get a palindrome (238150051832).

The spelling of 234140010400 in words is "two hundred thirty-four billion, one hundred forty million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 158 160 200 316 395 400 632 790 800 1264 1580 1975 2528 3160 3950 6320 7900 12640 15800 31600 63200 3704747 7409494 14818988 18523735 29637976 37047470 59275952 74094940 92618675 118551904 148189880 185237350 292675013 296379760 370474700 585350026 592759520 740949400 1170700052 1463375065 1481898800 2341400104 2926750130 2963797600 4682800208 5853500260 7316875325 9365600416 11707000520 14633750650 23414001040 29267501300 46828002080 58535002600 117070005200 234140010400