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400042264545 = 325711891297217
BaseRepresentation
bin1011101001001000110…
…00001000011111100001
31102020120122002122001100
411310210120020133201
523023241304431140
6503435450025013
740621264100160
oct5644430103741
91366518078040
10400042264545
1114472547a380
1265645418169
132b954318851
141550da453d7
15a615496530
hex5d246087e1

400042264545 has 96 divisors (see below), whose sum is σ = 874221154560. Its totient is φ = 164383211520.

The previous prime is 400042264499. The next prime is 400042264547. The reversal of 400042264545 is 545462240004.

400042264545 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 4 + 2 + 2 + 645 + 4 + 5 = 666.

It is not a de Polignac number, because 400042264545 - 28 = 400042264289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400042264547) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 340224 + ... + 956993.

It is an arithmetic number, because the mean of its divisors is an integer number (9106470360).

Almost surely, 2400042264545 is an apocalyptic number.

400042264545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400042264545 is an abundant number, since it is smaller than the sum of its proper divisors (474178890015).

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

400042264545 is a wasteful number, since it uses less digits than its factorization.

400042264545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297335 (or 1297332 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 400042264545 in words is "four hundred billion, forty-two million, two hundred sixty-four thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 89 99 105 165 231 267 315 385 445 495 623 693 801 979 1155 1335 1869 2937 3115 3465 4005 4895 5607 6853 8811 9345 14685 20559 28035 34265 44055 61677 102795 308385 1297217 3891651 6486085 9080519 11674953 14269387 19458255 27241557 42808161 45402595 58374765 71346935 81724671 99885709 115452313 128424483 136207785 214040805 299657127 346356939 408623355 499428545 577261565 642122415 808166191 898971381 1039070817 1269975443 1498285635 1731784695 2424498573 3809926329 4040830955 4494856905 5195354085 6349877215 7273495719 8889828101 11429778987 12122492865 19049631645 26669484303 36367478595 44449140505 57148894935 80008452909 133347421515 400042264545