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141970704100 = 22524129192
BaseRepresentation
bin1000010000111000011…
…1010000011011100100
3111120110011221000112221
42010032013100123210
54311224000012400
6145115340522124
713154111034211
oct2041607203344
9446404830487
10141970704100
1155233841315
1223621850344
1310506c4c9b4
146c2b25cb08
153a5dc48c1a
hex210e1d06e4

141970704100 has 81 divisors (see below), whose sum is σ = 316117736571. Its totient is φ = 55342915200.

The previous prime is 141970704097. The next prime is 141970704101. The reversal of 141970704100 is 1407079141.

The square root of 141970704100 is 376790.

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

It can be written as a sum of positive squares in 4 ways, for example, as 59757758116 + 82212945984 = 244454^2 + 286728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141970704101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154483441 + ... + 154484359.

Almost surely, 2141970704100 is an apocalyptic number.

141970704100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141970704100 is the 376790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141970704100

141970704100 is an abundant number, since it is smaller than the sum of its proper divisors (174147032471).

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

141970704100 is an frugal number, since it uses more digits than its factorization.

141970704100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 141970704100 in words is "one hundred forty-one billion, nine hundred seventy million, seven hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 919 1025 1681 1838 2050 3362 3676 4100 4595 6724 8405 9190 16810 18380 22975 33620 37679 42025 45950 75358 84050 91900 150716 168100 188395 376790 753580 844561 941975 1544839 1689122 1883950 3089678 3378244 3767900 4222805 6179356 7724195 8445610 15448390 16891220 21114025 30896780 34627001 38620975 42228050 69254002 77241950 84456100 138508004 154483900 173135005 346270010 692540020 865675025 1419707041 1731350050 2839414082 3462700100 5678828164 7098535205 14197070410 28394140820 35492676025 70985352050 141970704100