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420131202131024 = 24157314173532349
BaseRepresentation
bin101111110000110110110101…
…1000011111110010001010000
32001002120011001211200110011122
41133201231223003332101100
5420031412200221143044
64045313335414101412
7154331322562453616
oct13741555303762120
92032504054613148
10420131202131024
1111195970789467a
123b1542a964a868
1315057282795737
1475a665c8976b6
15338889b634dee
hex17e1b6b0fe450

420131202131024 has 40 divisors (see below), whose sum is σ = 819193090552200. Its totient is φ = 208726547148288.

The previous prime is 420131202130979. The next prime is 420131202131033.

It is a happy number.

420131202131024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 243005447631424 + 177125754499600 = 15588632^2 + 13308860^2 .

It is a junction number, because it is equal to n+sod(n) for n = 420131202130984 and 420131202131002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 788936402 + ... + 789468750.

It is an arithmetic number, because the mean of its divisors is an integer number (20479827263805).

Almost surely, 2420131202131024 is an apocalyptic number.

It is an amenable number.

420131202131024 is a deficient number, since it is larger than the sum of its proper divisors (399061888421176).

420131202131024 is a wasteful number, since it uses less digits than its factorization.

420131202131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846687 (or 846681 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 42013120 and 2131024, that added together give a palindrome (44144144).

The spelling of 420131202131024 in words is "four hundred twenty trillion, one hundred thirty-one billion, two hundred two million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 157 314 628 1256 2512 314173 532349 628346 1064698 1256692 2129396 2513384 4258792 5026768 8517584 49325161 83578793 98650322 167157586 197300644 334315172 394601288 668630344 789202576 1337260688 167249682377 334499364754 668998729508 1337997459016 2675994918032 26258200133189 52516400266378 105032800532756 210065601065512 420131202131024