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7140461412 = 22372311332707
BaseRepresentation
bin1101010011001101…
…01100101101100100
3200102122001000121210
412221212230231210
5104110424231122
63140312511420
7341642630520
oct65146545544
920378030553
107140461412
113034671387
1214733ab570
1389a4452c6
144ba480d80
152bbd1240c
hex1a99acb64

7140461412 has 96 divisors (see below), whose sum is σ = 20045555712. Its totient is φ = 1934102016.

The previous prime is 7140461401. The next prime is 7140461423. The reversal of 7140461412 is 2141640417.

It is an interprime number because it is at equal distance from previous prime (7140461401) and next prime (7140461423).

It is a super-2 number, since 2×71404614122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7140461412.

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 31 ways as a sum of consecutive naturals, for example, 201963 + ... + 234669.

It is an arithmetic number, because the mean of its divisors is an integer number (208807872).

Almost surely, 27140461412 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 7140461412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10022777856).

7140461412 is an abundant number, since it is smaller than the sum of its proper divisors (12905094300).

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

7140461412 is a wasteful number, since it uses less digits than its factorization.

7140461412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32857 (or 32855 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7140461412 is about 84501.2509493203. The cubic root of 7140461412 is about 1925.6414491997.

The spelling of 7140461412 in words is "seven billion, one hundred forty million, four hundred sixty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 113 138 161 226 276 322 339 452 483 644 678 791 966 1356 1582 1932 2373 2599 3164 4746 5198 7797 9492 10396 15594 18193 31188 32707 36386 54579 65414 72772 98121 109158 130828 196242 218316 228949 392484 457898 686847 752261 915796 1373694 1504522 2256783 2747388 3009044 3695891 4513566 5265827 7391782 9027132 10531654 11087673 14783564 15797481 21063308 22175346 25871237 31594962 44350692 51742474 63189924 77613711 85005493 103484948 155227422 170010986 255016479 310454844 340021972 510032958 595038451 1020065916 1190076902 1785115353 2380153804 3570230706 7140461412