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2140414308 = 223417794919
BaseRepresentation
bin111111110010100…
…0010000101100100
312112011120022110000
41333211002011210
513340421224213
6552220301300
7104020135644
oct17745020544
95464508400
102140414308
119a9231a4a
124b89a1830
1328159b156
141643aa524
15c7d9bc73
hex7f942164

2140414308 has 120 divisors (see below), whose sum is σ = 6000825600. Its totient is φ = 662867712.

The previous prime is 2140414273. The next prime is 2140414333. The reversal of 2140414308 is 8034140412.

2140414308 is a `hidden beast` number, since 214 + 0 + 414 + 30 + 8 = 666.

It is a super-2 number, since 2×21404143082 = 9162746819782237728, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 432673 + ... + 437591.

It is an arithmetic number, because the mean of its divisors is an integer number (50006880).

Almost surely, 22140414308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140414308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000412800).

2140414308 is an abundant number, since it is smaller than the sum of its proper divisors (3860411292).

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

2140414308 is a wasteful number, since it uses less digits than its factorization.

2140414308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2140414308 is about 46264.6118323714. The cubic root of 2140414308 is about 1288.7418994230.

The spelling of 2140414308 in words is "two billion, one hundred forty million, four hundred fourteen thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 79 81 102 108 153 158 162 204 237 306 316 324 459 474 612 711 918 948 1343 1377 1422 1836 2133 2686 2754 2844 4029 4266 4919 5372 5508 6399 8058 8532 9838 12087 12798 14757 16116 19676 24174 25596 29514 36261 44271 48348 59028 72522 83623 88542 108783 132813 145044 167246 177084 217566 250869 265626 334492 388601 398439 435132 501738 531252 752607 777202 796878 1003476 1165803 1505214 1554404 1593756 2257821 2331606 3010428 3497409 4515642 4663212 6606217 6773463 6994818 9031284 10492227 13212434 13546926 13989636 19818651 20984454 26424868 27093852 31476681 39637302 41968908 59455953 62953362 79274604 118911906 125906724 178367859 237823812 356735718 535103577 713471436 1070207154 2140414308