Search a number
-
+
40144685910 = 23571391996911
BaseRepresentation
bin100101011000110011…
…110100101101010110
310211121202022100020220
4211120303310231112
51124204014422120
630235303535210
72620552125420
oct453063645526
9124552270226
1040144685910
11160306a077a
12794445a506
133a2a040724
141d2b8b1810
15109e566b40
hex958cf4b56

40144685910 has 128 divisors (see below), whose sum is σ = 111476736000. Its totient is φ = 9062824320.

The previous prime is 40144685851. The next prime is 40144685923. The reversal of 40144685910 is 1958644104.

It is a super-2 number, since 2×401446859102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5805355 + ... + 5812265.

It is an arithmetic number, because the mean of its divisors is an integer number (870912000).

Almost surely, 240144685910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40144685910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55738368000).

40144685910 is an abundant number, since it is smaller than the sum of its proper divisors (71332050090).

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

40144685910 is a wasteful number, since it uses less digits than its factorization.

40144685910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266.

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 40144685910 in words is "forty billion, one hundred forty-four million, six hundred eighty-five thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 139 199 210 278 398 417 597 695 834 973 995 1194 1390 1393 1946 1990 2085 2786 2919 2985 4170 4179 4865 5838 5970 6911 6965 8358 9730 13822 13930 14595 20733 20895 27661 29190 34555 41466 41790 48377 55322 69110 82983 96754 103665 138305 145131 165966 193627 207330 241885 276610 290262 387254 414915 483770 580881 725655 829830 960629 968135 1161762 1375289 1451310 1921258 1936270 2750578 2881887 2904405 4125867 4803145 5763774 5808810 6724403 6876445 8251734 9606290 9627023 13448806 13752890 14409435 19254046 20173209 20629335 28818870 28881069 33622015 40346418 41258670 48135115 57762138 67244030 96270230 100866045 144405345 191165171 201732090 288810690 382330342 573495513 955825855 1146991026 1338156197 1911651710 2676312394 2867477565 4014468591 5734955130 6690780985 8028937182 13381561970 20072342955 40144685910