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7138133340 = 22351310878419
BaseRepresentation
bin1101010010111011…
…10100010101011100
3200102110122202002220
412221131310111130
5104104330231330
63140150545340
7341614063242
oct65135642534
920373582086
107138133340
113033321258
121472668250
13899b0b750
144ba036792
152bba02710
hex1a977455c

7138133340 has 96 divisors (see below), whose sum is σ = 21546577920. Its totient is φ = 1755254016.

The previous prime is 7138133339. The next prime is 7138133363. The reversal of 7138133340 is 433318317.

It is a happy number.

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, 843651 + ... + 852069.

It is an arithmetic number, because the mean of its divisors is an integer number (224443520).

Almost surely, 27138133340 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 7138133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10773288960).

7138133340 is an abundant number, since it is smaller than the sum of its proper divisors (14408444580).

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

7138133340 is a wasteful number, since it uses less digits than its factorization.

7138133340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9531 (or 9529 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 7138133340 is about 84487.4744562767. The cubic root of 7138133340 is about 1925.4321481016.

The spelling of 7138133340 in words is "seven billion, one hundred thirty-eight million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1087 2174 3261 4348 5435 6522 8419 10870 13044 14131 16305 16838 21740 25257 28262 32610 33676 42095 42393 50514 56524 65220 70655 84190 84786 101028 109447 126285 141310 168380 169572 211965 218894 252570 282620 328341 423930 437788 505140 547235 656682 847860 1094470 1313364 1641705 2188940 3283410 6566820 9151453 18302906 27454359 36605812 45757265 54908718 91514530 109817436 118968889 137271795 183029060 237937778 274543590 356906667 475875556 549087180 594844445 713813334 1189688890 1427626668 1784533335 2379377780 3569066670 7138133340