Search a number
-
+
96104461440 = 2735133850339
BaseRepresentation
bin101100110000001000…
…1011011010010000000
3100012001200111110221210
41121200101123102000
53033310220231230
6112052204050120
76641362305141
oct1314021332200
9305050443853
1096104461440
1137837510349
1216761233940
1390a7734440
14491993dac8
15277724aeb0
hex166045b480

96104461440 has 128 divisors (see below), whose sum is σ = 329897131200. Its totient is φ = 23656476672.

The previous prime is 96104461423. The next prime is 96104461451. The reversal of 96104461440 is 4416440169.

It is a happy number.

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

It is a super-3 number, since 3×961044614403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1900210 + ... + 1950129.

Almost surely, 296104461440 is an apocalyptic number.

It is an amenable number.

96104461440 is an abundant number, since it is smaller than the sum of its proper divisors (233792669760).

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

96104461440 is a wasteful number, since it uses less digits than its factorization.

96104461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850374 (or 3850362 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 96104461440 in words is "ninety-six billion, one hundred four million, four hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 3850339 7700678 11551017 15401356 19251695 23102034 30802712 38503390 46204068 50054407 57755085 61605424 77006780 92408136 100108814 115510170 123210848 150163221 154013560 184816272 200217628 231020340 246421696 250272035 300326442 308027120 369632544 400435256 462040680 492843392 500544070 600652884 616054240 739265088 750816105 800870512 924081360 1001088140 1201305768 1232108480 1478530176 1501632210 1601741024 1848162720 2002176280 2402611536 2464216960 3003264420 3203482048 3696325440 4004352560 4805223072 6006528840 6406964096 7392650880 8008705120 9610446144 12013057680 16017410240 19220892288 24026115360 32034820480 48052230720 96104461440