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42141403041100 = 225211311235818271
BaseRepresentation
bin10011001010011110011110…
…10110111100110101001100
312112012200022211112121120221
421211033033112330311030
521010421043134303400
6225343254315121124
711606421152420656
oct1145171726746514
9175180284477527
1042141403041100
11124780834355a0
1248873527431a4
131a68bc029584c
14a59924a5b6d6
154d12dbbb1c1a
hex2653cf5bcd4c

42141403041100 has 72 divisors (see below), whose sum is σ = 102978264969216. Its totient is φ = 14829819240000.

The previous prime is 42141403041061. The next prime is 42141403041119. The reversal of 42141403041100 is 114030414124.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 617875036 + ... + 617943235.

It is an arithmetic number, because the mean of its divisors is an integer number (1430253680128).

Almost surely, 242141403041100 is an apocalyptic number.

It is an amenable number.

42141403041100 is an abundant number, since it is smaller than the sum of its proper divisors (60836861928116).

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

42141403041100 is a wasteful number, since it uses less digits than its factorization.

42141403041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235818327 (or 1235818320 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 42141403041100 its reverse (114030414124), we get a palindrome (42255433455224).

The spelling of 42141403041100 in words is "forty-two trillion, one hundred forty-one billion, four hundred three million, forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 34100 1235818271 2471636542 4943273084 6179091355 12358182710 13594000981 24716365420 27188001962 30895456775 38310366401 54376003924 61790913550 67970004905 76620732802 123581827100 135940009810 153241465604 191551832005 271880019620 339850024525 383103664010 421414030411 679700049050 766207328020 842828060822 957759160025 1359400098100 1685656121644 1915518320050 2107070152055 3831036640100 4214140304110 8428280608220 10535350760275 21070701520550 42141403041100