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2134944252 = 22327173713469
BaseRepresentation
bin111111101000000…
…1010100111111100
312111210021101221100
41333100022213330
513333021204002
6551503133100
7103622504160
oct17720124774
95453241840
102134944252
119a6136241
124b6ba4190
1328040442c
14163784ca0
15c766b11c
hex7f40a9fc

2134944252 has 144 divisors (see below), whose sum is σ = 6707413440. Its totient is φ = 558544896.

The previous prime is 2134944221. The next prime is 2134944257. The reversal of 2134944252 is 2524494312.

It is a happy number.

2134944252 is a `hidden beast` number, since 21 + 349 + 44 + 252 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134944257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151774 + ... + 165242.

It is an arithmetic number, because the mean of its divisors is an integer number (46579260).

Almost surely, 22134944252 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 2134944252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353706720).

2134944252 is an abundant number, since it is smaller than the sum of its proper divisors (4572469188).

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

2134944252 is a wasteful number, since it uses less digits than its factorization.

2134944252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13540 (or 13535 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2134944252 is about 46205.4569504512. The cubic root of 2134944252 is about 1287.6431239641.

The spelling of 2134944252 in words is "two billion, one hundred thirty-four million, nine hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 37 42 51 63 68 74 84 102 111 119 126 148 153 204 222 238 252 259 306 333 357 444 476 518 612 629 666 714 777 1036 1071 1258 1332 1428 1554 1887 2142 2331 2516 3108 3774 4284 4403 4662 5661 7548 8806 9324 11322 13209 13469 17612 22644 26418 26938 39627 40407 52836 53876 79254 80814 94283 121221 158508 161628 188566 228973 242442 282849 377132 457946 484884 498353 565698 686919 848547 915892 996706 1131396 1373838 1495059 1602811 1697094 1993412 2060757 2747676 2990118 3205622 3394188 3488471 4121514 4485177 4808433 5980236 6411244 6976942 8243028 8472001 8970354 9616866 10465413 13953884 14425299 16944002 17940708 19233732 20930826 25416003 28850598 31396239 33888004 41861652 50832006 57701196 59304007 62792478 76248009 101664012 118608014 125584956 152496018 177912021 237216028 304992036 355824042 533736063 711648084 1067472126 2134944252