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1401574152320 = 27519311346941
BaseRepresentation
bin10100011001010100010…
…101000101100010000000
311221222201010001000111122
4110121110111011202000
5140430410440333240
62551512502131412
7203155212504266
oct24312425054200
94858633030448
101401574152320
114a044a085221
121a7774420b68
13a2224a8c954
144bb9d6d2436
15266d14554b5
hex14654545880

1401574152320 has 64 divisors (see below), whose sum is σ = 3367999324440. Its totient is φ = 557724794880.

The previous prime is 1401574152317. The next prime is 1401574152323. The reversal of 1401574152320 is 232514751041.

It is an interprime number because it is at equal distance from previous prime (1401574152317) and next prime (1401574152323).

It can be written as a sum of positive squares in 4 ways, for example, as 1314398046784 + 87176105536 = 1146472^2 + 295256^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14015741523202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1401574152323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5549951 + ... + 5796990.

Almost surely, 21401574152320 is an apocalyptic number.

1401574152320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401574152320 is an abundant number, since it is smaller than the sum of its proper divisors (1966425172120).

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

1401574152320 is a wasteful number, since it uses less digits than its factorization.

1401574152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11347153 (or 11347141 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 1401574152320 in words is "one trillion, four hundred one billion, five hundred seventy-four million, one hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 193 320 386 640 772 965 1544 1930 3088 3860 6176 7720 12352 15440 24704 30880 61760 123520 11346941 22693882 45387764 56734705 90775528 113469410 181551056 226938820 363102112 453877640 726204224 907755280 1452408448 1815510560 2189959613 3631021120 4379919226 7262042240 8759838452 10949798065 17519676904 21899596130 35039353808 43799192260 70078707616 87598384520 140157415232 175196769040 280314830464 350393538080 700787076160 1401574152320