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31430132140 = 225112920992347
BaseRepresentation
bin11101010001011000…
…011100000110101100
310000010102100010212011
4131101120130012230
51003332103212030
622234440451004
72161603500211
oct352130340654
9100112303764
1031430132140
1112369543520
126111a79a64
132c6b763a34
141742361b08
15c3e471b2a
hex75161c1ac

31430132140 has 96 divisors (see below), whose sum is σ = 74553696000. Its totient is φ = 11025073920.

The previous prime is 31430132093. The next prime is 31430132141. The reversal of 31430132140 is 4123103413.

It is a super-3 number, since 3×314301321403 (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31430132141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13390447 + ... + 13392793.

It is an arithmetic number, because the mean of its divisors is an integer number (776601000).

Almost surely, 231430132140 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 31430132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37276848000).

31430132140 is an abundant number, since it is smaller than the sum of its proper divisors (43123563860).

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

31430132140 is a wasteful number, since it uses less digits than its factorization.

31430132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 31430132140 its reverse (4123103413), we get a palindrome (35553235553).

The spelling of 31430132140 in words is "thirty-one billion, four hundred thirty million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 2099 2347 3190 4198 4694 6380 8396 9388 10495 11735 20990 23089 23470 25817 41980 46178 46940 51634 60871 68063 92356 103268 115445 121742 129085 136126 230890 243484 258170 272252 304355 340315 461780 516340 608710 669581 680630 748693 1217420 1339162 1361260 1497386 2678324 2994772 3347905 3743465 4926353 6695810 7486930 9852706 13391620 14973860 19705412 24631765 49263530 54189883 98527060 108379766 142864237 216759532 270949415 285728474 541898830 571456948 714321185 1083797660 1428642370 1571506607 2857284740 3143013214 6286026428 7857533035 15715066070 31430132140