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455401400520 = 233511379324353
BaseRepresentation
bin1101010000010000000…
…10011110100011001000
31121112110201002010011210
412220020002132203020
524430130224304040
6545113012253120
744621162015103
oct6501002364310
91545421063153
10455401400520
11166153244620
12743150111a0
1333c3744b841
141808200173a
15bca5583480
hex6a0809e8c8

455401400520 has 128 divisors (see below), whose sum is σ = 1530685952640. Its totient is φ = 107416535040.

The previous prime is 455401400507. The next prime is 455401400521. The reversal of 455401400520 is 25004104554.

It is a super-3 number, since 3×4554014005203 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (455401400521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4613337 + ... + 4711016.

It is an arithmetic number, because the mean of its divisors is an integer number (11958484005).

Almost surely, 2455401400520 is an apocalyptic number.

455401400520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455401400520 is an abundant number, since it is smaller than the sum of its proper divisors (1075284552120).

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

455401400520 is a wasteful number, since it uses less digits than its factorization.

455401400520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324415 (or 9324411 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 455401400520 in words is "four hundred fifty-five billion, four hundred one million, four hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 48840 9324353 18648706 27973059 37297412 46621765 55946118 74594824 93243530 102567883 111892236 139865295 186487060 205135766 223784472 279730590 307703649 345001061 372974120 410271532 512839415 559461180 615407298 690002122 820543064 1025678830 1035003183 1118922360 1230814596 1380004244 1538518245 1725005305 2051357660 2070006366 2461629192 2760008488 3077036490 3450010610 3795011671 4102715320 4140012732 5175015915 6154072980 6900021220 7590023342 8280025464 10350031830 11385035013 12308145960 13800042440 15180046684 18975058355 20700063660 22770070026 30360093368 37950116710 41400127320 45540140052 56925175065 75900233420 91080280104 113850350130 151800466840 227700700260 455401400520