Search a number
-
+
153232350131040 = 2535417786196653
BaseRepresentation
bin100010110101110100101111…
…110011000011001101100000
3202002112212110221111200110120
4202311310233303003031200
5130041024323113143130
61301521545253200240
744163446324426355
oct4265645763031540
9662485427450416
10153232350131040
1144908524987424
1215229558030080
13676699692814b
1429ba6b19da62c
1512aadd21e6910
hex8b5d2fcc3360

153232350131040 has 96 divisors (see below), whose sum is σ = 494454632315616. Its totient is φ = 39865326858240.

The previous prime is 153232350131027. The next prime is 153232350131071. The reversal of 153232350131040 is 40131053232351.

153232350131040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 153232350130992 and 153232350131010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3893078647 + ... + 3893118006.

It is an arithmetic number, because the mean of its divisors is an integer number (5150569086621).

Almost surely, 2153232350131040 is an apocalyptic number.

153232350131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153232350131040 is an abundant number, since it is smaller than the sum of its proper divisors (341222282184576).

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

153232350131040 is a wasteful number, since it uses less digits than its factorization.

153232350131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786196712 (or 7786196704 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 153232350131040 in words is "one hundred fifty-three trillion, two hundred thirty-two billion, three hundred fifty million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 7786196653 15572393306 23358589959 31144786612 38930983265 46717179918 62289573224 77861966530 93434359836 116792949795 124579146448 155723933060 186868719672 233585899590 249158292896 311447866120 319234062773 373737439344 467171799180 622895732240 638468125546 747474878688 934343598360 957702188319 1245791464480 1276936251092 1596170313865 1868687196720 1915404376638 2553872502184 3192340627730 3737374393440 3830808753276 4788510941595 5107745004368 6384681255460 7661617506552 9577021883190 10215490008736 12769362510920 15323235013104 19154043766380 25538725021840 30646470026208 38308087532760 51077450043680 76616175065520 153232350131040