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4102150634320 = 245137541691837
BaseRepresentation
bin111011101100011011001…
…110110011101101010000
3112112011100221010120211211
4323230123032303231100
51014202201030244240
612420300232345504
7602241055034404
oct73543316635520
915464327116754
104102150634320
1113417920aa102
12563035b45294
13239aa604405b
1410278bc6b104
1571a8de0ebea
hex3bb1b3b3b50

4102150634320 has 80 divisors (see below), whose sum is σ = 9624888998928. Its totient is φ = 1625869946880.

The previous prime is 4102150634303. The next prime is 4102150634333. The reversal of 4102150634320 is 234360512014.

It can be written as a sum of positive squares in 8 ways, for example, as 46695752464 + 4055454881856 = 216092^2 + 2013816^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5583442 + ... + 6275278.

Almost surely, 24102150634320 is an apocalyptic number.

4102150634320 is a gapful number since it is divisible by the number (40) 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 4102150634320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812444499464).

4102150634320 is an abundant number, since it is smaller than the sum of its proper divisors (5522738364608).

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

4102150634320 is a wasteful number, since it uses less digits than its factorization.

4102150634320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692528 (or 692522 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 4102150634320 in words is "four trillion, one hundred two billion, one hundred fifty million, six hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 541 548 685 1082 1096 1370 2164 2192 2705 2740 4328 5410 5480 8656 10820 10960 21640 43280 74117 148234 296468 370585 592936 691837 741170 1185872 1383674 1482340 2767348 2964680 3459185 5534696 5929360 6918370 11069392 13836740 27673480 55346960 94781669 189563338 374283817 379126676 473908345 748567634 758253352 947816690 1497135268 1516506704 1871419085 1895633380 2994270536 3742838170 3791266760 5988541072 7485676340 7582533520 14971352680 29942705360 51276882929 102553765858 205107531716 256384414645 410215063432 512768829290 820430126864 1025537658580 2051075317160 4102150634320