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142404707272672 = 25137146310413379
BaseRepresentation
bin100000011000010000101101…
…111111011100011111100000
3200200012202102220012222201101
4200120100231333130133200
5122131124320030211142
61222511452553244144
741665254253613155
oct4030205577343740
9620182386188641
10142404707272672
1141413551855019
1213b7aba0403654
13615c9248bc240
1427245d31a222c
15116e4172950b7
hex81842dfdc7e0

142404707272672 has 96 divisors (see below), whose sum is σ = 306839155553280. Its totient is φ = 64659579747840.

The previous prime is 142404707272669. The next prime is 142404707272679. The reversal of 142404707272672 is 276272707404241.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142404707272679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8468479 + ... + 18881857.

It is an arithmetic number, because the mean of its divisors is an integer number (3196241203680).

Almost surely, 2142404707272672 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 142404707272672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153419577776640).

142404707272672 is an abundant number, since it is smaller than the sum of its proper divisors (164434448280608).

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

142404707272672 is a wasteful number, since it uses less digits than its factorization.

142404707272672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10413936 (or 10413928 counting only the distinct ones).

The product of its (nonzero) digits is 14751744, while the sum is 55.

The spelling of 142404707272672 in words is "one hundred forty-two trillion, four hundred four billion, seven hundred seven million, two hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 208 284 416 463 568 923 926 1136 1846 1852 2272 3692 3704 6019 7384 7408 12038 14768 14816 24076 29536 32873 48152 65746 96304 131492 192608 262984 427349 525968 854698 1051936 1709396 3418792 6837584 10413379 13675168 20826758 41653516 83307032 135373927 166614064 270747854 333228128 541495708 739349909 1082991416 1478699818 2165982832 2957399636 4331965664 4821394477 5914799272 9611548817 9642788954 11829598544 19223097634 19285577908 23659197088 38446195268 38571155816 62678128201 76892390536 77142311632 125356256402 153784781072 154284623264 250712512804 307569562144 342319007867 501425025608 684638015734 1002850051216 1369276031468 2005700102432 2738552062936 4450147102271 5477104125872 8900294204542 10954208251744 17800588409084 35601176818168 71202353636336 142404707272672