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40163632112142 = 23271128331739419
BaseRepresentation
bin10010010000111010100110…
…00001100110001000001110
312021012121100120121120111100
421020131103001212020032
520231020104310042032
6221230530132203530
711313504150045120
oct1110352301461016
9167177316546440
1040163632112142
1111885334299900
124607b931695a6
131954550178966
149cbd0453b210
15499b354b097c
hex24875306620e

40163632112142 has 144 divisors (see below), whose sum is σ = 110632953674880. Its totient is φ = 10306423812960.

The previous prime is 40163632112113. The next prime is 40163632112159. The reversal of 40163632112142 is 24121123636104.

40163632112142 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 3 + 632 + 1 + 1 + 2 + 14 + 2 = 666.

It is a super-2 number, since 2×401636321121422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40163632112097 and 40163632112106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14604292 + ... + 17135127.

It is an arithmetic number, because the mean of its divisors is an integer number (768284400520).

Almost surely, 240163632112142 is an apocalyptic number.

40163632112142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

40163632112142 is an abundant number, since it is smaller than the sum of its proper divisors (70469321562738).

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

40163632112142 is a wasteful number, since it uses less digits than its factorization.

40163632112142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31739539 (or 31739525 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 40163632112142 its reverse (24121123636104), we get a palindrome (64284755748246).

The spelling of 40163632112142 in words is "forty trillion, one hundred sixty-three billion, six hundred thirty-two million, one hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 83 99 121 126 154 166 198 231 242 249 363 462 498 581 693 726 747 847 913 1089 1162 1386 1494 1694 1743 1826 2178 2541 2739 3486 5082 5229 5478 6391 7623 8217 10043 10458 12782 15246 16434 19173 20086 30129 38346 57519 60258 70301 90387 115038 140602 180774 210903 421806 632709 1265418 31739419 63478838 95218257 190436514 222175933 285654771 349133609 444351866 571309542 666527799 698267218 1047400827 1333055598 1999583397 2094801654 2443935263 2634371777 3142202481 3840469699 3999166794 4887870526 5268743554 6284404962 7331805789 7680939398 7903115331 11521409097 14663611578 15806230662 18440602439 21995417367 23042818194 23709345993 26883287893 28978089547 34564227291 36881204878 43990834734 47418691986 53766575786 55321807317 57956179094 69128454582 80649863679 86934268641 110643614634 161299727358 165965421951 173868537282 202846626829 241949591037 260802805923 318758985017 331930843902 405693253658 483899182074 521605611846 608539880487 637517970034 956276955051 1217079760974 1825619641461 1912553910102 2231312895119 2868830865153 3651239282922 4462625790238 5737661730306 6693938685357 13387877370714 20081816056071 40163632112142