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147941838960 = 24353738343499
BaseRepresentation
bin1000100111001000000…
…1010101000001110000
3112010212022200002200220
42021302001111001300
54410441102321320
6151544043013040
713455064611516
oct2116201250160
9463768602626
10147941838960
1157818347313
122480950a180
1310c490501a6
1472362b64b6
153cad07de40
hex2272055070

147941838960 has 160 divisors (see below), whose sum is σ = 472255488000. Its totient is φ = 38283807744.

The previous prime is 147941838953. The next prime is 147941838973. The reversal of 147941838960 is 69838149741.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 147941838894 and 147941838903.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3379291 + ... + 3422789.

It is an arithmetic number, because the mean of its divisors is an integer number (2951596800).

Almost surely, 2147941838960 is an apocalyptic number.

147941838960 is a gapful number since it is divisible by the number (10) 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 147941838960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236127744000).

147941838960 is an abundant number, since it is smaller than the sum of its proper divisors (324313649040).

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

147941838960 is a wasteful number, since it uses less digits than its factorization.

147941838960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43935 (or 43929 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 147941838960 in words is "one hundred forty-seven billion, nine hundred forty-one million, eight hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 383 444 555 592 740 766 888 1110 1149 1480 1532 1776 1915 2220 2298 2960 3064 3830 4440 4596 5745 6128 7660 8880 9192 11490 14171 15320 18384 22980 28342 30640 42513 43499 45960 56684 70855 85026 86998 91920 113368 130497 141710 170052 173996 212565 217495 226736 260994 283420 340104 347992 425130 434990 521988 566840 652485 680208 695984 850260 869980 1043976 1133680 1304970 1609463 1700520 1739960 2087952 2609940 3218926 3401040 3479920 4828389 5219880 6437852 8047315 9656778 10439760 12875704 16094630 16660117 19313556 24141945 25751408 32189260 33320234 38627112 48283890 49980351 64378520 66640468 77254224 83300585 96567780 99960702 128757040 133280936 166601170 193135560 199921404 249901755 266561872 333202340 386271120 399842808 499803510 616424329 666404680 799685616 999607020 1232848658 1332809360 1849272987 1999214040 2465697316 3082121645 3698545974 3998428080 4931394632 6164243290 7397091948 9246364935 9862789264 12328486580 14794183896 18492729870 24656973160 29588367792 36985459740 49313946320 73970919480 147941838960