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2134943538 = 237133171361
BaseRepresentation
bin111111101000000…
…1010011100110010
312111210021100221220
41333100022130302
513333021143123
6551503125510
7103622502120
oct17720123462
95453240856
102134943538
119a6135752
124b6ba3896
13280404000
14163784910
15c766ace3
hex7f40a732

2134943538 has 128 divisors (see below), whose sum is σ = 5601415680. Its totient is φ = 529551360.

The previous prime is 2134943537. The next prime is 2134943539. The reversal of 2134943538 is 8353494312.

It is an interprime number because it is at equal distance from previous prime (2134943537) and next prime (2134943539).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2134943538.

It is not an unprimeable number, because it can be changed into a prime (2134943537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1567978 + ... + 1569338.

It is an arithmetic number, because the mean of its divisors is an integer number (43761060).

Almost surely, 22134943538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134943538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800707840).

2134943538 is an abundant number, since it is smaller than the sum of its proper divisors (3466472142).

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

2134943538 is a wasteful number, since it uses less digits than its factorization.

2134943538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1403 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 2134943538 is about 46205.4492240904. The cubic root of 2134943538 is about 1287.6429804198.

The spelling of 2134943538 in words is "two billion, one hundred thirty-four million, nine hundred forty-three thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 169 182 221 238 273 338 357 442 507 546 663 714 1014 1183 1326 1361 1547 2197 2366 2722 2873 3094 3549 4083 4394 4641 5746 6591 7098 8166 8619 9282 9527 13182 15379 17238 17693 19054 20111 23137 28581 30758 35386 37349 40222 46137 46274 53079 57162 60333 69411 74698 92274 106158 112047 120666 123851 138822 161959 224094 230009 247702 261443 300781 323918 371553 460018 485877 522886 601562 690027 743106 784329 902343 971754 1380054 1568658 1610063 1804686 2105467 2990117 3220126 3910153 4210934 4830189 5980234 6316401 7820306 8970351 9660378 11730459 12632802 17940702 20930819 23460918 27371071 41861638 50831989 54742142 62792457 82113213 101663978 125584914 152495967 164226426 304991934 355823923 711647846 1067471769 2134943538