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234431553440 = 2557593547693
BaseRepresentation
bin1101101001010100110…
…1011001111110100000
3211102002221022211100102
43122111031121332200
512320103434202230
6255410225441532
722636301216510
oct3322515317640
9742087284312
10234431553440
1190470555997
12395267a02a8
1319150844336
14b4bccd9840
15617116b045
hex3695359fa0

234431553440 has 96 divisors (see below), whose sum is σ = 643693599360. Its totient is φ = 79014196224.

The previous prime is 234431553437. The next prime is 234431553509. The reversal of 234431553440 is 44355134432.

It is a junction number, because it is equal to n+sod(n) for n = 234431553394 and 234431553403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707767 + ... + 1839926.

It is an arithmetic number, because the mean of its divisors is an integer number (6705141660).

Almost surely, 2234431553440 is an apocalyptic number.

234431553440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234431553440 is an abundant number, since it is smaller than the sum of its proper divisors (409262045920).

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

234431553440 is a wasteful number, since it uses less digits than its factorization.

234431553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547774 (or 3547766 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 38.

Adding to 234431553440 its reverse (44355134432), we get a palindrome (278786687872).

The spelling of 234431553440 in words is "two hundred thirty-four billion, four hundred thirty-one million, five hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 70 80 112 118 140 160 224 236 280 295 413 472 560 590 826 944 1120 1180 1652 1888 2065 2360 3304 4130 4720 6608 8260 9440 13216 16520 33040 66080 3547693 7095386 14190772 17738465 24833851 28381544 35476930 49667702 56763088 70953860 99335404 113526176 124169255 141907720 198670808 209313887 248338510 283815440 397341616 418627774 496677020 567630880 794683232 837255548 993354040 1046569435 1465197209 1674511096 1986708080 2093138870 2930394418 3349022192 3973416160 4186277740 5860788836 6698044384 7325986045 8372555480 11721577672 14651972090 16745110960 23443155344 29303944180 33490221920 46886310688 58607888360 117215776720 234431553440