Search a number
-
+
355012243520 = 26511255739443
BaseRepresentation
bin1010010101010000110…
…00001111000001000000
31020221100102011112212212
411022220120033001000
521304031113243040
6431031304241252
734435351165064
oct5125030170100
91227312145785
10355012243520
1112761817a070
1258978a70228
1327629125cac
141327b3ddaa4
15937c0c7d65
hex52a860f040

355012243520 has 112 divisors (see below), whose sum is σ = 922609044288. Its totient is φ = 129041602560.

The previous prime is 355012243513. The next prime is 355012243571. The reversal of 355012243520 is 25342210553.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 8980919 + ... + 9020361.

Almost surely, 2355012243520 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 355012243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461304522144).

355012243520 is an abundant number, since it is smaller than the sum of its proper divisors (567596800768).

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

355012243520 is a wasteful number, since it uses less digits than its factorization.

355012243520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42028 (or 42018 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 355012243520 in words is "three hundred fifty-five billion, twelve million, two hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 2557 3520 5114 10228 12785 20456 25570 28127 39443 40912 51140 56254 78886 81824 102280 112508 140635 157772 163648 197215 204560 225016 281270 315544 394430 409120 433873 450032 562540 631088 788860 818240 867746 900064 1125080 1262176 1577720 1735492 1800128 2169365 2250160 2524352 3155440 3470984 4338730 4500320 6310880 6941968 8677460 9000640 12621760 13883936 17354920 27767872 34709840 69419680 100855751 138839360 201711502 403423004 504278755 806846008 1008557510 1109413261 1613692016 2017115020 2218826522 3227384032 4034230040 4437653044 5547066305 6454768064 8068460080 8875306088 11094132610 16136920160 17750612176 22188265220 32273840320 35501224352 44376530440 71002448704 88753060880 177506121760 355012243520