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67140231400 = 235211286110667
BaseRepresentation
bin111110100001110111…
…101010000011101000
320102022010012010212001
4332201313222003220
52100000344401100
650502132100344
74564540356604
oct764167520350
9212263163761
1067140231400
1126523a01650
12110191646b4
13643cb21898
14336ccb4504
151b2e51bd6a
hexfa1dea0e8

67140231400 has 96 divisors (see below), whose sum is σ = 170367533280. Its totient is φ = 24403808000.

The previous prime is 67140231373. The next prime is 67140231541. The reversal of 67140231400 is 413204176.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6288867 + ... + 6299533.

It is an arithmetic number, because the mean of its divisors is an integer number (1774661805).

Almost surely, 267140231400 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 67140231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85183766640).

67140231400 is an abundant number, since it is smaller than the sum of its proper divisors (103227301880).

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

67140231400 is a wasteful number, since it uses less digits than its factorization.

67140231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13555 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 67140231400 its reverse (413204176), we get a palindrome (67553435576).

The spelling of 67140231400 in words is "sixty-seven billion, one hundred forty million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2861 5722 10667 11444 14305 21334 22888 28610 31471 42668 53335 57220 62942 71525 85336 106670 114440 117337 125884 143050 157355 213340 234674 251768 266675 286100 314710 426680 469348 533350 572200 586685 629420 786775 938696 1066700 1173370 1258840 1573550 2133400 2346740 2933425 3147100 4693480 5866850 6294200 11733700 23467400 30518287 61036574 122073148 152591435 244146296 305182870 335701157 610365740 671402314 762957175 1220731480 1342804628 1525914350 1678505785 2685609256 3051828700 3357011570 6103657400 6714023140 8392528925 13428046280 16785057850 33570115700 67140231400