Search a number
-
+
88145005440 = 2735172700521
BaseRepresentation
bin101001000010111011…
…0100000101110000000
322102111222101012222010
41102011312200232000
52421010110133230
6104254313212520
76240213120102
oct1220566405600
9272458335863
1088145005440
1134422615238
12150bb701140
13840971866b
1443a27cb572
15245d5ad9b0
hex1485da0b80

88145005440 has 128 divisors (see below), whose sum is σ = 297489503520. Its totient is φ = 22122659840.

The previous prime is 88145005427. The next prime is 88145005441. The reversal of 88145005440 is 4450054188.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88145005441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317621 + ... + 1382900.

Almost surely, 288145005440 is an apocalyptic number.

88145005440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88145005440 is an abundant number, since it is smaller than the sum of its proper divisors (209344498080).

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

88145005440 is a wasteful number, since it uses less digits than its factorization.

88145005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700560 (or 2700548 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The spelling of 88145005440 in words is "eighty-eight billion, one hundred forty-five million, five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 2700521 5401042 8101563 10802084 13502605 16203126 21604168 27005210 32406252 40507815 43208336 45908857 54010420 64812504 81015630 86416672 91817714 108020840 129625008 137726571 162031260 172833344 183635428 216041680 229544285 259250016 275453142 324062520 345666688 367270856 432083360 459088570 518500032 550906284 648125040 688632855 734541712 864166720 918177140 1037000064 1101812568 1296250080 1377265710 1469083424 1728333440 1836354280 2203625136 2592500160 2754531420 2938166848 3672708560 4407250272 5185000320 5509062840 5876333696 7345417120 8814500544 11018125680 14690834240 17629001088 22036251360 29381668480 44072502720 88145005440