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140004125140 = 2251115737310867
BaseRepresentation
bin1000001001100011100…
…1010110100111010100
3111101101010110110101011
42002120321112213110
54243212024001030
6144152250142004
713054301266645
oct2023071264724
9441333413334
10140004125140
1154414751450
1223173121904
13102826a77c9
146ac1dc36cc
153996288b2a
hex2098e569d4

140004125140 has 96 divisors (see below), whose sum is σ = 323674775424. Its totient is φ = 50446056960.

The previous prime is 140004125123. The next prime is 140004125159. The reversal of 140004125140 is 41521400041.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 12877987 + ... + 12888853.

It is an arithmetic number, because the mean of its divisors is an integer number (3371612244).

Almost surely, 2140004125140 is an apocalyptic number.

140004125140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140004125140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161837387712).

140004125140 is an abundant number, since it is smaller than the sum of its proper divisors (183670650284).

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

140004125140 is a wasteful number, since it uses less digits than its factorization.

140004125140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11417 (or 11415 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 140004125140 its reverse (41521400041), we get a palindrome (181525525181).

The spelling of 140004125140 in words is "one hundred forty billion, four million, one hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 373 628 746 785 1492 1570 1727 1865 3140 3454 3730 4103 6908 7460 8206 8635 10867 16412 17270 20515 21734 34540 41030 43468 54335 58561 82060 108670 117122 119537 217340 234244 239074 292805 478148 585610 597685 644171 1171220 1195370 1288342 1706119 2390740 2576684 3220855 3412238 4053391 6441710 6824476 8106782 8530595 12883420 16213564 17061190 18767309 20266955 34122380 37534618 40533910 44587301 75069236 81067820 89174602 93836545 178349204 187673090 222936505 375346180 445873010 636382387 891746020 1272764774 2545529548 3181911935 6363823870 7000206257 12727647740 14000412514 28000825028 35001031285 70002062570 140004125140