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20416131214002 = 234126025501321
BaseRepresentation
bin1001010010001100000000…
…01111111010101010110010
32200021202121021202110020000
410221012000033322222302
510133444214042322002
6111231012522130430
74205005523001216
oct451060017725262
980252537673200
1020416131214002
116561483906257
122358949050a16
13b5130492a504
1450820898a946
1525610ca4361c
hex1291803faab2

20416131214002 has 20 divisors (see below), whose sum is σ = 45747256979886. Its totient is φ = 6805377071280.

The previous prime is 20416131213983. The next prime is 20416131214057. The reversal of 20416131214002 is 20041213161402.

20416131214002 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 613 + 1 + 2 + 1 + 40 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19497426216921 + 918704997081 = 4415589^2 + 958491^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63012750499 + ... + 63012750822.

Almost surely, 220416131214002 is an apocalyptic number.

20416131214002 is an abundant number, since it is smaller than the sum of its proper divisors (25331125765884).

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

20416131214002 is a wasteful number, since it uses less digits than its factorization.

20416131214002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126025501335 (or 126025501326 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 20416131214002 its reverse (20041213161402), we get a palindrome (40457344375404).

The spelling of 20416131214002 in words is "twenty trillion, four hundred sixteen billion, one hundred thirty-one million, two hundred fourteen thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 126025501321 252051002642 378076503963 756153007926 1134229511889 2268459023778 3402688535667 6805377071334 10208065607001 20416131214002