Search a number
-
+
400543122151044 = 2232171016480022037
BaseRepresentation
bin101101100010010101011011…
…0100000110101011010000100
31221112012112210212102001221200
41123010222312200311122010
5404444444303232313134
63535514545311342500
7150240166651015665
oct13304526640653204
91845175725361850
10400543122151044
11106697425353454
1238b0bb35221a30
1314266092530622
1470ca56795b36c
1531490a48ba499
hex16c4ab6835684

400543122151044 has 72 divisors (see below), whose sum is σ = 1082656162020888. Its totient is φ = 124416423091200.

The previous prime is 400543122151013. The next prime is 400543122151169. The reversal of 400543122151044 is 440151221345004.

400543122151044 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 431 + 2 + 215 + 1 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 322657872782400 + 77885249368644 = 17962680^2 + 8825262^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3239949207 + ... + 3240072830.

It is an arithmetic number, because the mean of its divisors is an integer number (15036891139179).

Almost surely, 2400543122151044 is an apocalyptic number.

It is an amenable number.

400543122151044 is an abundant number, since it is smaller than the sum of its proper divisors (682113039869844).

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

400543122151044 is a wasteful number, since it uses less digits than its factorization.

400543122151044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480022165 (or 6480022160 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 400543122151044 its reverse (440151221345004), we get a palindrome (840694343496048).

The spelling of 400543122151044 in words is "four hundred trillion, five hundred forty-three billion, one hundred twenty-two million, one hundred fifty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 202 204 303 306 404 606 612 909 1212 1717 1818 3434 3636 5151 6868 10302 15453 20604 30906 61812 6480022037 12960044074 19440066111 25920088148 38880132222 58320198333 77760264444 110160374629 116640396666 220320749258 233280793332 330481123887 440641498516 654482225737 660962247774 991443371661 1308964451474 1321924495548 1963446677211 1982886743322 2617928902948 3926893354422 3965773486644 5890340031633 7853786708844 11126197837529 11780680063266 22252395675058 23561360126532 33378593512587 44504791350116 66757187025174 100135780537761 133514374050348 200271561075522 400543122151044