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31041530040 = 23357913923557
BaseRepresentation
bin11100111010001110…
…000010100010111000
32222010100010002222210
4130322032002202320
51002033112430130
622132115415120
72146144436403
oct347216024270
988110102883
1031041530040
111218a152a64
1260238b44a0
132c090b3371
1417068c6d3a
15c1a2b05b0
hex73a3828b8

31041530040 has 128 divisors (see below), whose sum is σ = 94985856000. Its totient is φ = 8113817088.

The previous prime is 31041529973. The next prime is 31041530053. The reversal of 31041530040 is 4003514013.

It is a junction number, because it is equal to n+sod(n) for n = 31041529989 and 31041530016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1305942 + ... + 1329498.

It is an arithmetic number, because the mean of its divisors is an integer number (742077000).

Almost surely, 231041530040 is an apocalyptic number.

31041530040 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 31041530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47492928000).

31041530040 is an abundant number, since it is smaller than the sum of its proper divisors (63944325960).

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

31041530040 is a wasteful number, since it uses less digits than its factorization.

31041530040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23789 (or 23785 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 31041530040 in words is "thirty-one billion, forty-one million, five hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 139 158 237 278 316 395 417 474 556 632 695 790 834 948 1112 1185 1390 1580 1668 1896 2085 2370 2780 3160 3336 4170 4740 5560 8340 9480 10981 16680 21962 23557 32943 43924 47114 54905 65886 70671 87848 94228 109810 117785 131772 141342 164715 188456 219620 235570 263544 282684 329430 353355 439240 471140 565368 658860 706710 942280 1317720 1413420 1861003 2826840 3274423 3722006 5583009 6548846 7444012 9305015 9823269 11166018 13097692 14888024 16372115 18610030 19646538 22332036 26195384 27915045 32744230 37220060 39293076 44664072 49116345 55830090 65488460 74440120 78586152 98232690 111660180 130976920 196465380 223320360 258679417 392930760 517358834 776038251 1034717668 1293397085 1552076502 2069435336 2586794170 3104153004 3880191255 5173588340 6208306008 7760382510 10347176680 15520765020 31041530040