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31422134040 = 23351141956813
BaseRepresentation
bin11101010000111001…
…111011011100011000
310000002212021210112020
4131100321323130120
51003323031242130
622233553214440
72161445506143
oct352071733430
9100085253466
1031422134040
1112364a80420
12610b261420
132c69bc342b
14174127d05a
15c3d8e1e10
hex750e7b718

31422134040 has 128 divisors (see below), whose sum is σ = 103083321600. Its totient is φ = 7599173120.

The previous prime is 31422133987. The next prime is 31422134047. The reversal of 31422134040 is 4043122413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31422134040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31422134047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 524674 + ... + 581486.

It is an arithmetic number, because the mean of its divisors is an integer number (805338450).

Almost surely, 231422134040 is an apocalyptic number.

31422134040 is a gapful number since it is divisible by the number (30) 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 31422134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51541660800).

31422134040 is an abundant number, since it is smaller than the sum of its proper divisors (71661187560).

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

31422134040 is a wasteful number, since it uses less digits than its factorization.

31422134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57257 (or 57253 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31422134040 its reverse (4043122413), we get a palindrome (35465256453).

The spelling of 31422134040 in words is "thirty-one billion, four hundred twenty-two million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 419 440 660 838 1257 1320 1676 2095 2514 3352 4190 4609 5028 6285 8380 9218 10056 12570 13827 16760 18436 23045 25140 27654 36872 46090 50280 55308 56813 69135 92180 110616 113626 138270 170439 184360 227252 276540 284065 340878 454504 553080 568130 624943 681756 852195 1136260 1249886 1363512 1704390 1874829 2272520 2499772 3124715 3408780 3749658 4999544 6249430 6817560 7499316 9374145 12498860 14998632 18748290 23804647 24997720 37496580 47609294 71413941 74993160 95218588 119023235 142827882 190437176 238046470 261851117 285655764 357069705 476092940 523702234 571311528 714139410 785553351 952185880 1047404468 1309255585 1428278820 1571106702 2094808936 2618511170 2856557640 3142213404 3927766755 5237022340 6284426808 7855533510 10474044680 15711067020 31422134040