Search a number
-
+
7128045075440 = 245232473583661
BaseRepresentation
bin110011110111010000010…
…0110000011101111110000
3221020102201201100202122202
41213232200212003233300
51413241214014403230
623054324555522332
71333661413310102
oct147564046035760
927212651322582
107128045075440
1122a8a94687743
12971567a593a8
133c92304a8863
141a8ddbc1b572
15c563bb05a45
hex67ba0983bf0

7128045075440 has 120 divisors (see below), whose sum is σ = 17693198687808. Its totient is φ = 2669224645120.

The previous prime is 7128045075433. The next prime is 7128045075469. The reversal of 7128045075440 is 445705408217.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197210 + ... + 3780870.

Almost surely, 27128045075440 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 7128045075440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8846599343904).

7128045075440 is an abundant number, since it is smaller than the sum of its proper divisors (10565153612368).

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

7128045075440 is a wasteful number, since it uses less digits than its factorization.

7128045075440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583767 (or 3583738 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 47.

The spelling of 7128045075440 in words is "seven trillion, one hundred twenty-eight billion, forty-five million, seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 529 752 920 940 1058 1081 1840 1880 2116 2162 2645 3760 4232 4324 5290 5405 8464 8648 10580 10810 17296 21160 21620 24863 42320 43240 49726 86480 99452 124315 198904 248630 397808 497260 994520 1989040 3583661 7167322 14334644 17918305 28669288 35836610 57338576 71673220 82424203 143346440 164848406 168432067 286692880 329696812 336864134 412121015 659393624 673728268 824242030 842160335 1318787248 1347456536 1648484060 1684320670 1895756669 2694913072 3296968120 3368641340 3791513338 3873937541 6593936240 6737282680 7583026676 7747875082 9478783345 13474565360 15166053352 15495750164 18957566690 19369687705 30332106704 30991500328 37915133380 38739375410 61983000656 75830266760 77478750820 89100563443 151660533520 154957501640 178201126886 309915003280 356402253772 445502817215 712804507544 891005634430 1425609015088 1782011268860 3564022537720 7128045075440