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2134942446 = 237313199401
BaseRepresentation
bin111111101000000…
…1010001011101110
312111210021022110110
41333100022023232
513333021124241
6551503120450
7103622466000
oct17720121356
95453238413
102134942446
119a613494a
124b6ba3126
13280403670
14163784370
15c766a816
hex7f40a2ee

2134942446 has 128 divisors (see below), whose sum is σ = 5402880000. Its totient is φ = 558835200.

The previous prime is 2134942423. The next prime is 2134942463. The reversal of 2134942446 is 6442494312.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5323846 + ... + 5324246.

It is an arithmetic number, because the mean of its divisors is an integer number (42210000).

Almost surely, 22134942446 is an apocalyptic number.

2134942446 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134942446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701440000).

2134942446 is an abundant number, since it is smaller than the sum of its proper divisors (3267937554).

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

2134942446 is a wasteful number, since it uses less digits than its factorization.

2134942446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 625 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 2134942446 is about 46205.4374073009. The cubic root of 2134942446 is about 1287.6427608814.

The spelling of 2134942446 in words is "two billion, one hundred thirty-four million, nine hundred forty-two thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 199 273 294 343 398 401 546 597 637 686 802 1029 1194 1203 1274 1393 1911 2058 2406 2587 2786 2807 3822 4179 4459 5174 5213 5614 7761 8358 8421 8918 9751 10426 13377 15522 15639 16842 18109 19502 19649 26754 29253 31278 36218 36491 39298 54327 58506 58947 68257 72982 79799 108654 109473 117894 126763 136514 137543 159598 204771 218946 239397 253526 255437 275086 380289 409542 412629 478794 510874 558593 760578 766311 825258 887341 1037387 1117186 1532622 1675779 1774682 1788059 2074774 2662023 3112161 3351558 3576118 3910151 5324046 5364177 6224322 7261709 7820302 10728354 11730453 14523418 21785127 23460906 27371057 43570254 50831963 54742114 82113171 101663926 152495889 164226342 304991778 355823741 711647482 1067471223 2134942446