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401081922248 = 237229211032
BaseRepresentation
bin1011101011000100101…
…10000111001011001000
31102100021002101201022012
411311202112013023020
523032403433002443
6504130545315052
740656120042200
oct5654226071310
91370232351265
10401081922248
1114510931a617
1265895635a88
132ba8b82c817
14155abb57400
15a6768ad118
hex5d625872c8

401081922248 has 108 divisors (see below), whose sum is σ = 906836959665. Its totient is φ = 165814466496.

The previous prime is 401081922229. The next prime is 401081922251. The reversal of 401081922248 is 842229180104.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 400843466884 + 238455364 = 633122^2 + 15442^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=447818.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 363627665 + ... + 363628767.

Almost surely, 2401081922248 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 401081922248

401081922248 is an abundant number, since it is smaller than the sum of its proper divisors (505755037417).

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

401081922248 is an equidigital number, since it uses as much as digits as its factorization.

401081922248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 401081922248 in words is "four hundred one billion, eighty-one million, nine hundred twenty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 841 1103 1421 1624 1682 2206 2842 3364 4412 5684 5887 6728 7721 8824 11368 11774 15442 23548 30884 31987 41209 47096 54047 61768 63974 82418 108094 127948 164836 216188 223909 255896 329672 432376 447818 895636 927623 1216609 1567363 1791272 1855246 2433218 3134726 3710492 4866436 6269452 6493361 7420984 8516263 9732872 12538904 12986722 17032526 25973444 34065052 35281661 45453527 51946888 59613841 68130104 70563322 90907054 119227682 141126644 181814108 238455364 246971627 282253288 363628216 476910728 493943254 987886508 1023168169 1728801389 1975773016 2046336338 3457602778 4092672676 6915205556 7162177183 8185345352 13830411112 14324354366 28648708732 50135240281 57297417464 100270480562 200540961124 401081922248