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190140474601 = 741128092
BaseRepresentation
bin1011000100010101000…
…0010110010011101001
3200011210012211220022001
42301011100112103221
511103401430141401
6223203242131001
716510600240000
oct2610520262351
9604705756261
10190140474601
1173702382900
1230a257b0a61
1314c1277708c
1492ba887c37
154e2cab3601
hex2c454164e9

190140474601 has 45 divisors (see below), whose sum is σ = 244117522103. Its totient is φ = 147978267360.

The previous prime is 190140474599. The next prime is 190140474613. The reversal of 190140474601 is 106474041091.

The square root of 190140474601 is 436051.

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

It can be written as a sum of positive squares in only one way, i.e., 167363628201 + 22776846400 = 409101^2 + 150920^2 .

It is not a de Polignac number, because 190140474601 - 21 = 190140474599 is a prime.

It is a super-3 number, since 3×1901404746013 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (190140474661) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 235031085 + ... + 235031893.

Almost surely, 2190140474601 is an apocalyptic number.

190140474601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

190140474601 is the 436051-st square number.

190140474601 is the 218026-th centered octagonal number.

It is an amenable number.

190140474601 is a deficient number, since it is larger than the sum of its proper divisors (53977047502).

190140474601 is an frugal number, since it uses more digits than its factorization.

190140474601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 190140474601 in words is "one hundred ninety billion, one hundred forty million, four hundred seventy-four thousand, six hundred one".

Divisors: 1 7 11 49 77 121 343 539 809 847 2401 3773 5663 5929 8899 26411 39641 41503 62293 97889 277487 290521 436051 654481 685223 1942409 3052357 4581367 4796561 7199291 21366499 32069569 33575927 50395037 79192201 224486983 235031489 352765259 554345407 1571408881 2469356813 3880417849 17285497691 27162924943 190140474601