Search a number
-
+
335152140372 = 223373711981701
BaseRepresentation
bin1001110000010001001…
…11111101000001010100
31012001002022212210001000
410320020213331001110
520442342421442442
6413544453303300
733133245121530
oct4701047750124
91161068783030
10335152140372
1111a156711685
1254b55934b30
13257b272077a
1412315932bc0
158ab8792d4c
hex4e089fd054

335152140372 has 96 divisors (see below), whose sum is σ = 1019882474240. Its totient is φ = 93169699200.

The previous prime is 335152140371. The next prime is 335152140391. The reversal of 335152140372 is 273041251533.

335152140372 is a `hidden beast` number, since 3 + 35 + 152 + 1 + 403 + 72 = 666.

It is a super-2 number, since 2×3351521403722 (a number of 24 digits) contains 22 as substring.

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 (335152140371) by changing a digit.

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, 5962879 + ... + 6018822.

Almost surely, 2335152140372 is an apocalyptic number.

It is an amenable number.

335152140372 is an abundant number, since it is smaller than the sum of its proper divisors (684730333868).

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

335152140372 is a wasteful number, since it uses less digits than its factorization.

335152140372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11981758 (or 11981750 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 335152140372 in words is "three hundred thirty-five billion, one hundred fifty-two million, one hundred forty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 444 518 666 756 777 999 1036 1332 1554 1998 2331 3108 3996 4662 6993 9324 13986 27972 11981701 23963402 35945103 47926804 71890206 83871907 107835309 143780412 167743814 215670618 251615721 323505927 335487628 431341236 443322937 503231442 647011854 754847163 886645874 1006462884 1294023708 1329968811 1509694326 1773291748 2264541489 2659937622 3019388652 3103260559 3989906433 4529082978 5319875244 6206521118 7979812866 9058165956 9309781677 11969719299 12413042236 15959625732 18619563354 23939438598 27929345031 37239126708 47878877196 55858690062 83788035093 111717380124 167576070186 335152140372