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141429104957976 = 233112359394779887
BaseRepresentation
bin100000001010000100000111…
…100011111101101000011000
3200112202111020111100101121120
4200022010013203331220120
5122014133301332123401
61220443344530005240
741534626031016033
oct4012040743755030
9615674214311546
10141429104957976
1141077823777210
1213a41aa9116820
1360bb9271308a4
1426cd2c311601a
151153d678c7836
hex80a1078fda18

141429104957976 has 128 divisors (see below), whose sum is σ = 409307787878400. Its totient is φ = 40299130762880.

The previous prime is 141429104957891. The next prime is 141429104957977. The reversal of 141429104957976 is 679759401924141.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 141429104957976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141429104957977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197031696 + ... + 197748191.

It is an arithmetic number, because the mean of its divisors is an integer number (3197717092800).

Almost surely, 2141429104957976 is an apocalyptic number.

It is an amenable number.

141429104957976 is an abundant number, since it is smaller than the sum of its proper divisors (267878682920424).

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

141429104957976 is a wasteful number, since it uses less digits than its factorization.

141429104957976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394779989 (or 394779985 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 69.

The spelling of 141429104957976 in words is "one hundred forty-one trillion, four hundred twenty-nine billion, one hundred four million, nine hundred fifty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 59 66 69 88 92 118 132 138 177 184 236 253 264 276 354 472 506 552 649 708 759 1012 1298 1357 1416 1518 1947 2024 2596 2714 3036 3894 4071 5192 5428 6072 7788 8142 10856 14927 15576 16284 29854 32568 44781 59708 89562 119416 179124 358248 394779887 789559774 1184339661 1579119548 2368679322 3158239096 4342578757 4737358644 8685157514 9079937401 9474717288 13027736271 17370315028 18159874802 23292013333 26055472542 27239812203 34740630056 36319749604 46584026666 52110945084 54479624406 69876039999 72639499208 93168053332 99879311411 104221890168 108959248812 139752079998 186336106664 199758622822 217918497624 256212146663 279504159996 299637934233 399517245644 512424293326 535716306659 559008319992 599275868466 768636439989 799034491288 1024848586652 1071432613318 1198551736932 1537272879978 1607148919977 2049697173304 2142865226636 2397103473864 3074545759956 3214297839954 4285730453272 5892879373249 6149091519912 6428595679908 11785758746498 12857191359816 17678638119747 23571517492996 35357276239494 47143034985992 70714552478988 141429104957976