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2123440956 = 2232713648181
BaseRepresentation
bin111111010010001…
…0010001100111100
312110222121222101100
41332210102030330
513322100102311
6550412413100
7103422643650
oct17644221474
95428558340
102123440956
1199a69968a
124b3177190
1327ac07550
1416202ca60
15c6647a56
hex7e91233c

2123440956 has 72 divisors (see below), whose sum is σ = 6606270944. Its totient is φ = 560027520.

The previous prime is 2123440951. The next prime is 2123440993. The reversal of 2123440956 is 6590443212.

It is a happy number.

2123440956 is a `hidden beast` number, since 2 + 123 + 440 + 95 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2123440956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123440951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320815 + ... + 327366.

Almost surely, 22123440956 is an apocalyptic number.

2123440956 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2123440956 is an abundant number, since it is smaller than the sum of its proper divisors (4482829988).

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

2123440956 is a wasteful number, since it uses less digits than its factorization.

2123440956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648211 (or 648206 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2123440956 is about 46080.8089772738. The cubic root of 2123440956 is about 1285.3263073372.

The spelling of 2123440956 in words is "two billion, one hundred twenty-three million, four hundred forty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 648181 1296362 1944543 2592724 3889086 4537267 5833629 7778172 8426353 9074534 11667258 13611801 16852706 18149068 23334516 25279059 27223602 33705412 40835403 50558118 54447204 58984471 75837177 81670806 101116236 117968942 151674354 163341612 176953413 235937884 303348708 353906826 530860239 707813652 1061720478 2123440956