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3234201123040 = 255107367514751
BaseRepresentation
bin101111000100000101011…
…010001011100011100000
3102110012001001000000201021
4233010011122023203200
5410442120441414130
610513434350215224
7452443342646056
oct57040532134340
912405031000637
103234201123040
111037687244918
124429874b4514
131a5ca36c4094
14b277136c1d6
15591e054437a
hex2f10568b8e0

3234201123040 has 96 divisors (see below), whose sum is σ = 7733238718464. Its totient is φ = 1278095424000.

The previous prime is 3234201123007. The next prime is 3234201123071. The reversal of 3234201123040 is 403211024323.

It is a junction number, because it is equal to n+sod(n) for n = 3234201122996 and 3234201123014.

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, 6025665 + ... + 6540415.

It is an arithmetic number, because the mean of its divisors is an integer number (80554569984).

Almost surely, 23234201123040 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 3234201123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866619359232).

3234201123040 is an abundant number, since it is smaller than the sum of its proper divisors (4499037595424).

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

3234201123040 is a wasteful number, since it uses less digits than its factorization.

3234201123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515240 (or 515232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 3234201123040 its reverse (403211024323), we get a palindrome (3637412147363).

The spelling of 3234201123040 in words is "three trillion, two hundred thirty-four billion, two hundred one million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 367 428 535 734 856 1070 1468 1712 1835 2140 2936 3424 3670 4280 5872 7340 8560 11744 14680 17120 29360 39269 58720 78538 157076 196345 314152 392690 514751 628304 785380 1029502 1256608 1570760 2059004 2573755 3141520 4118008 5147510 6283040 8236016 10295020 16472032 20590040 41180080 55078357 82360160 110156714 188913617 220313428 275391785 377827234 440626856 550783570 755654468 881253712 944568085 1101567140 1511308936 1762507424 1889136170 2203134280 3022617872 3778272340 4406268560 6045235744 7556544680 8812537120 15113089360 20213757019 30226178720 40427514038 80855028076 101068785095 161710056152 202137570190 323420112304 404275140380 646840224608 808550280760 1617100561520 3234201123040