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40401131166 = 23211229897187
BaseRepresentation
bin100101101000000110…
…000101011010011110
310212021121212010000100
4211220012011122132
51130220142144131
630320544241530
72630114643264
oct455006053236
9125247763010
1040401131166
1116152426900
1279b63102a6
133a6b1cb996
141d53988434
1510b6d207e6
hex96818569e

40401131166 has 144 divisors (see below), whose sum is σ = 100667221200. Its totient is φ = 11686160640.

The previous prime is 40401131123. The next prime is 40401131167. The reversal of 40401131166 is 66113110404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40401131167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5617825 + ... + 5625011.

It is an arithmetic number, because the mean of its divisors is an integer number (699077925).

Almost surely, 240401131166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40401131166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50333610600).

40401131166 is an abundant number, since it is smaller than the sum of its proper divisors (60266090034).

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

40401131166 is a wasteful number, since it uses less digits than its factorization.

40401131166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7335 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 40401131166 in words is "forty billion, four hundred one million, one hundred thirty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 89 99 121 174 178 198 242 261 267 319 363 522 534 638 726 801 957 979 1089 1602 1914 1958 2178 2581 2871 2937 3509 5162 5742 5874 7018 7187 7743 8811 10527 10769 14374 15486 17622 21054 21538 21561 23229 28391 31581 32307 43122 46458 56782 63162 64614 64683 79057 85173 96921 129366 158114 170346 193842 208423 237171 255519 312301 416846 474342 511038 624602 625269 639643 711513 869627 936903 1250538 1279286 1423026 1739254 1873806 1875807 1918929 2292653 2608881 2810709 3751614 3837858 4585306 5217762 5621418 5756787 6877959 7036073 7826643 11513574 13755918 14072146 15653286 18549647 20633877 21108219 25219183 37099294 41267754 42216438 50438366 55648941 63324657 75657549 77396803 111297882 126649314 151315098 154793606 166946823 204046117 226972647 232190409 333893646 408092234 453945294 464380818 612138351 696571227 1224276702 1393142454 1836415053 2244507287 3672830106 4489014574 6733521861 13467043722 20200565583 40401131166