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139340944656 = 2434103692
BaseRepresentation
bin1000000111000101011…
…1100001010100010000
3111022122220120101210000
42001301113201110100
54240332240212111
6144002400010000
713031666326104
oct2016127412420
9438586511700
10139340944656
1154104370101
1223009000900
13101a818a414
146a5bcb1904
153957e3ac56
hex20715e1510

139340944656 has 75 divisors (see below), whose sum is σ = 403332017781. Its totient is φ = 46442502144.

The previous prime is 139340944637. The next prime is 139340944657. The reversal of 139340944656 is 656449043931.

It is a happy number.

The square root of 139340944656 is 373284.

It is a perfect power (a square), and thus also a powerful number.

139340944656 is a `hidden beast` number, since 1 + 3 + 93 + 4 + 0 + 94 + 465 + 6 = 666.

139340944656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7659050256 + 131681894400 = 87516^2 + 362880^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (139340944657) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13433040 + ... + 13443408.

Almost surely, 2139340944656 is an apocalyptic number.

139340944656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

139340944656 is the 373284-th square number.

It is an amenable number.

139340944656 is an abundant number, since it is smaller than the sum of its proper divisors (263991073125).

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

139340944656 is an frugal number, since it uses more digits than its factorization.

139340944656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20758 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 139340944656 in words is "one hundred thirty-nine billion, three hundred forty million, nine hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10369 20738 31107 41476 62214 82952 93321 124428 165904 186642 248856 279963 373284 497712 559926 746568 839889 1119852 1493136 1679778 2239704 3359556 4479408 6719112 13438224 107516161 215032322 322548483 430064644 645096966 860129288 967645449 1290193932 1720258576 1935290898 2580387864 2902936347 3870581796 5160775728 5805872694 7741163592 8708809041 11611745388 15482327184 17417618082 23223490776 34835236164 46446981552 69670472328 139340944656