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4131990662488 = 2313177991932191
BaseRepresentation
bin111100001000001101110…
…101011110110101011000
3112122000101112102002010021
4330020031311132311120
51020144304102144423
612442113232000224
7604345403062153
oct74101565366530
915560345362107
104131990662488
11135340500aa07
12568983390074
1323c850228460
14103dbcd52c9a
157273898995d
hex3c20dd5ed58

4131990662488 has 128 divisors (see below), whose sum is σ = 8956071936000. Its totient is φ = 1770188359680.

The previous prime is 4131990662467. The next prime is 4131990662561. The reversal of 4131990662488 is 8842660991314.

It is a happy number.

It is a super-2 number, since 2×41319906624882 (a number of 26 digits) contains 22 as substring.

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, 128342473 + ... + 128374663.

It is an arithmetic number, because the mean of its divisors is an integer number (69969312000).

Almost surely, 24131990662488 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 4131990662488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478035968000).

4131990662488 is an abundant number, since it is smaller than the sum of its proper divisors (4824081273512).

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

4131990662488 is a wasteful number, since it uses less digits than its factorization.

4131990662488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33225 (or 33221 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 4131990662488 in words is "four trillion, one hundred thirty-one billion, nine hundred ninety million, six hundred sixty-two thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 79 104 136 158 221 316 442 632 884 919 1027 1343 1768 1838 2054 2686 3676 4108 5372 7352 8216 10744 11947 15623 17459 23894 31246 32191 34918 47788 62492 64382 69836 72601 95576 124984 128764 139672 145202 203099 257528 290404 406198 418483 547247 580808 812396 836966 943813 1094494 1234217 1624792 1673932 1887626 2188988 2468434 2543089 3347864 3775252 4377976 4936868 5086178 7114211 7550504 9873736 10172356 14228422 16044821 20344712 28456844 29583529 32089642 33060157 43232513 56913688 59167058 64179284 66120314 86465026 118334116 128358568 132240628 172930052 236668232 264481256 345860104 384585877 502919993 562022669 769171754 1005839986 1124045338 1538343508 2011679972 2248090676 2337098791 3076687016 4023359944 4496181352 4674197582 6537959909 9348395164 13075919818 18696790328 26151839636 30382284283 39730679447 52303679272 60764568566 79461358894 121529137132 158922717788 243058274264 317845435576 516498832811 1032997665622 2065995331244 4131990662488