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211216440144 = 2434400342503
BaseRepresentation
bin1100010010110101111…
…0110001101101010000
3202012012000222212210110
43010231132301231100
511430032402041034
6241010445201320
721155066055453
oct3045536615520
9665160885713
10211216440144
11816381a0746
1234b27b60240
1316bc1038ac8
14a319a1349a
155763018de9
hex312d7b1b50

211216440144 has 20 divisors (see below), whose sum is σ = 545642470496. Its totient is φ = 70405480032.

The previous prime is 211216440139. The next prime is 211216440151. The reversal of 211216440144 is 441044612112.

211216440144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112164401442 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2200171204 + ... + 2200171299.

Almost surely, 2211216440144 is an apocalyptic number.

211216440144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211216440144 is an abundant number, since it is smaller than the sum of its proper divisors (334426030352).

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

211216440144 is a wasteful number, since it uses less digits than its factorization.

211216440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400342514 (or 4400342508 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 211216440144 in words is "two hundred eleven billion, two hundred sixteen million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4400342503 8800685006 13201027509 17601370012 26402055018 35202740024 52804110036 70405480048 105608220072 211216440144