Search a number
-
+
531314422140 = 223583115192693
BaseRepresentation
bin1111011101101001100…
…11101011000101111100
31212210102012211011211010
413232310303223011330
532201112443002030
61044025451555220
753246316033615
oct7566463530574
91783365734733
10531314422140
1119536915a317
1286b8015bb10
133b14492a448
141ba04064c0c
15dc49d4a6b0
hex7bb4ceb17c

531314422140 has 96 divisors (see below), whose sum is σ = 1506928582656. Its totient is φ = 139853689600.

The previous prime is 531314422087. The next prime is 531314422141. The reversal of 531314422140 is 41224413135.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 531314422098 and 531314422107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531314422141) 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, 5685634 + ... + 5778326.

It is an arithmetic number, because the mean of its divisors is an integer number (15697172736).

Almost surely, 2531314422140 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 531314422140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753464291328).

531314422140 is an abundant number, since it is smaller than the sum of its proper divisors (975614160516).

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

531314422140 is a wasteful number, since it uses less digits than its factorization.

531314422140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93939 (or 93937 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 531314422140 its reverse (41224413135), we get a palindrome (572538835275).

The spelling of 531314422140 in words is "five hundred thirty-one billion, three hundred fourteen million, four hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1151 1245 1660 2302 2490 3453 4604 4980 5755 6906 11510 13812 17265 23020 34530 69060 92693 95533 185386 191066 278079 286599 370772 382132 463465 477665 556158 573198 926930 955330 1112316 1146396 1390395 1432995 1853860 1910660 2780790 2865990 5561580 5731980 7693519 15387038 23080557 30774076 38467595 46161114 76935190 92322228 106689643 115402785 153870380 213379286 230805570 320068929 426758572 461611140 533448215 640137858 1066896430 1280275716 1600344645 2133792860 3200689290 6401378580 8855240369 17710480738 26565721107 35420961476 44276201845 53131442214 88552403690 106262884428 132828605535 177104807380 265657211070 531314422140