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234123947448 = 233472116771453
BaseRepresentation
bin1101101000001011011…
…1111110110110111000
3211101022111111211020220
43122002313332312320
512313441212304243
6255315520420040
722625544501156
oct3320267766670
9741274454226
10234123947448
1190322956a66
123945b777620
1319101bb2561
14b4901063d6
156154158783
hex3682dfedb8

234123947448 has 128 divisors (see below), whose sum is σ = 601897374720. Its totient is φ = 75854338560.

The previous prime is 234123947429. The next prime is 234123947461. The reversal of 234123947448 is 844749321432.

It is a self number, because there is not a number n which added to its sum of digits gives 234123947448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161130690 + ... + 161132142.

It is an arithmetic number, because the mean of its divisors is an integer number (4702323240).

Almost surely, 2234123947448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234123947448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300948687360).

234123947448 is an abundant number, since it is smaller than the sum of its proper divisors (367773427272).

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

234123947448 is a wasteful number, since it uses less digits than its factorization.

234123947448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2393 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 234123947448 in words is "two hundred thirty-four billion, one hundred twenty-three million, nine hundred forty-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 211 282 376 422 564 633 677 844 1128 1266 1354 1453 1688 2031 2532 2708 2906 4062 4359 5064 5416 5812 8124 8718 9917 11624 16248 17436 19834 29751 31819 34872 39668 59502 63638 68291 79336 95457 119004 127276 136582 142847 190914 204873 238008 254552 273164 285694 306583 381828 409746 428541 546328 571388 613166 763656 819492 857082 919749 983681 1142776 1226332 1638984 1714164 1839498 1967362 2452664 2951043 3428328 3678996 3934724 5902086 6713809 7357992 7869448 11804172 13427618 14409401 20141427 23608344 26855236 28818802 40282854 43228203 46233007 53710472 57637604 80565708 86456406 92466014 115275208 138699021 161131416 172912812 184932028 207556691 277398042 345825624 369864056 415113382 554796084 622670073 830226764 1109592168 1245340146 1660453528 2490680292 4981360584 9755164477 19510328954 29265493431 39020657908 58530986862 78041315816 117061973724 234123947448