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7140249936 = 2432375712347
BaseRepresentation
bin1101010011001011…
…11001000101010000
3200102121122021112100
412221211321011100
5104110400444221
63140304200400
7341641060131
oct65145710520
920377567470
107140249936
113034537506
121473309100
1389a39cc81
144ba427c88
152bbcbe926
hex1a9979150

7140249936 has 120 divisors (see below), whose sum is σ = 20567559584. Its totient is φ = 2310716160.

The previous prime is 7140249929. The next prime is 7140249937. The reversal of 7140249936 is 6399420417.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7140249891 and 7140249900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7140249937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3041115 + ... + 3043461.

Almost surely, 27140249936 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 7140249936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10283779792).

7140249936 is an abundant number, since it is smaller than the sum of its proper divisors (13427309648).

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

7140249936 is a wasteful number, since it uses less digits than its factorization.

7140249936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 7140249936 is about 84499.9996213018. Note that the first 3 decimals coincide. The cubic root of 7140249936 is about 1925.6224387115.

The spelling of 7140249936 in words is "seven billion, one hundred forty million, two hundred forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 571 592 666 888 1142 1332 1713 1776 2284 2347 2664 3426 4568 4694 5139 5328 6852 7041 9136 9388 10278 13704 14082 18776 20556 21123 21127 27408 28164 37552 41112 42246 42254 56328 63381 82224 84492 84508 86839 112656 126762 168984 169016 173678 190143 253524 260517 337968 338032 347356 380286 507048 521034 694712 760572 781551 1014096 1042068 1340137 1389424 1521144 1563102 2084136 2680274 3042288 3126204 4020411 4168272 5360548 6252408 8040822 10721096 12061233 12504816 16081644 21442192 24122466 32163288 48244932 49585069 64326576 96489864 99170138 148755207 192979728 198340276 297510414 396680552 446265621 595020828 793361104 892531242 1190041656 1785062484 2380083312 3570124968 7140249936