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2141989392 = 24317331293
BaseRepresentation
bin111111110101100…
…0010101000010000
312112021112100001110
41333223002220100
513341322130032
6552314133320
7104036416014
oct17753025020
95467470043
102141989392
119aa108374
124b9421240
13281a0005a
1416469a544
15c80ad7cc
hex7fac2a10

2141989392 has 160 divisors (see below), whose sum is σ = 6089610240. Its totient is φ = 648099840.

The previous prime is 2141989309. The next prime is 2141989417. The reversal of 2141989392 is 2939891412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7310398 + ... + 7310690.

It is an arithmetic number, because the mean of its divisors is an integer number (38060064).

Almost surely, 22141989392 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 2141989392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044805120).

2141989392 is an abundant number, since it is smaller than the sum of its proper divisors (3947620848).

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

2141989392 is a wasteful number, since it uses less digits than its factorization.

2141989392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 346 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 2141989392 is about 46281.6312590643. The cubic root of 2141989392 is about 1289.0579408902.

The spelling of 2141989392 in words is "two billion, one hundred forty-one million, nine hundred eighty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 289 293 372 408 496 527 578 586 744 816 867 879 1054 1156 1172 1488 1581 1734 1758 2108 2312 2344 3162 3468 3516 4216 4624 4688 4913 4981 6324 6936 7032 8432 8959 9083 9826 9962 12648 13872 14064 14739 14943 17918 18166 19652 19924 25296 26877 27249 29478 29886 35836 36332 39304 39848 53754 54498 58956 59772 71672 72664 78608 79696 84677 107508 108996 117912 119544 143344 145328 152303 154411 169354 215016 217992 235824 239088 254031 304606 308822 338708 430032 435984 456909 463233 508062 609212 617644 677416 913818 926466 1016124 1218424 1235288 1354832 1439509 1827636 1852932 2032248 2436848 2470576 2624987 2879018 3655272 3705864 4064496 4318527 5249974 5758036 7310544 7411728 7874961 8637054 10499948 11516072 15749922 17274108 20999896 23032144 31499844 34548216 41999792 44624779 62999688 69096432 89249558 125999376 133874337 178499116 267748674 356998232 535497348 713996464 1070994696 2141989392