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40989241764 = 22324128232
BaseRepresentation
bin100110001011001001…
…100011000110100100
310220210121111020002100
4212023021203012210
51132421221214024
630455153412100
72650515543402
oct461311430644
9126717436070
1040989241764
11164243a4019
127b3b26a030
133b32cc3a13
141dabb18472
1510ed7907c9
hex98b2631a4

40989241764 has 81 divisors (see below), whose sum is σ = 106329643329. Its totient is φ = 13313638080.

The previous prime is 40989241759. The next prime is 40989241793. The reversal of 40989241764 is 46714298904.

The square root of 40989241764 is 202458.

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., 1975091364 + 39014150400 = 44442^2 + 197520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40989241764.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49804257 + ... + 49805079.

Almost surely, 240989241764 is an apocalyptic number.

40989241764 is the 202458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40989241764

40989241764 is an abundant number, since it is smaller than the sum of its proper divisors (65340401565).

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

40989241764 is an equidigital number, since it uses as much as digits as its factorization.

40989241764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 40989241764 in words is "forty billion, nine hundred eighty-nine million, two hundred forty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 823 1476 1646 1681 2469 3292 3362 4938 5043 6724 7407 9876 10086 14814 15129 20172 29628 30258 33743 60516 67486 101229 134972 202458 303687 404916 607374 677329 1214748 1354658 1383463 2031987 2709316 2766926 4063974 4150389 5533852 6095961 8127948 8300778 12191922 12451167 16601556 24383844 24902334 27770489 49804668 55540978 83311467 111081956 166622934 249934401 333245868 499868802 999737604 1138590049 2277180098 3415770147 4554360196 6831540294 10247310441 13663080588 20494620882 40989241764