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1332416252240 = 245227180140739
BaseRepresentation
bin10011011000111010001…
…100101000100101010000
311201101012101020200112222
4103120322030220211100
5133312242030032430
62500034212240212
7165156342163403
oct23307214504520
94641171220488
101332416252240
114740902692a7
12196293610068
1398852c48798
14486bc883d3a
15249d4c359e5
hex1363a328950

1332416252240 has 80 divisors (see below), whose sum is σ = 3113318859840. Its totient is φ = 530310988800.

The previous prime is 1332416252213. The next prime is 1332416252263. The reversal of 1332416252240 is 422526142331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1332416252240.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 32685791 + ... + 32726529.

It is an arithmetic number, because the mean of its divisors is an integer number (38916485748).

Almost surely, 21332416252240 is an apocalyptic number.

1332416252240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332416252240 is an abundant number, since it is smaller than the sum of its proper divisors (1780902607600).

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

1332416252240 is a wasteful number, since it uses less digits than its factorization.

1332416252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42780 (or 42774 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 1332416252240 in words is "one trillion, three hundred thirty-two billion, four hundred sixteen million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 227 454 908 1135 1801 1816 2270 3602 3632 4540 7204 9005 9080 14408 18010 18160 28816 36020 40739 72040 81478 144080 162956 203695 325912 407390 408827 651824 814780 817654 1629560 1635308 2044135 3259120 3270616 4088270 6541232 8176540 9247753 16353080 18495506 32706160 36991012 46238765 73370939 73982024 92477530 146741878 147964048 184955060 293483756 366854695 369910120 586967512 733709390 739820240 1173935024 1467418780 2934837560 5869675120 16655203153 33310406306 66620812612 83276015765 133241625224 166552031530 266483250448 333104063060 666208126120 1332416252240