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42021288212024 = 23114017691548517
BaseRepresentation
bin10011000110111110101111…
…11101001111011000111000
312111210012021211022002012202
421203133113331033120320
521001434044240241044
6225212151401325332
711564636460261632
oct1143372775173070
9174705254262182
1042021288212024
1112431145780710
124868010496848
131a5a78a3750a4
14a53bac383a52
154cd10bac7c4e
hex2637d7f4f638

42021288212024 has 64 divisors (see below), whose sum is σ = 86279087109600. Its totient is φ = 19028164608000.

The previous prime is 42021288212023. The next prime is 42021288212041.

42021288212024 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42021288212023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26362214 + ... + 27910730.

Almost surely, 242021288212024 is an apocalyptic number.

42021288212024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42021288212024 is an abundant number, since it is smaller than the sum of its proper divisors (44257798897576).

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

42021288212024 is a wasteful number, since it uses less digits than its factorization.

42021288212024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549704 (or 1549700 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The spelling of 42021288212024 in words is "forty-two trillion, twenty-one billion, two hundred eighty-eight million, two hundred twelve thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 401 769 802 1538 1604 3076 3208 4411 6152 8459 8822 16918 17644 33836 35288 67672 308369 616738 1233476 1548517 2466952 3097034 3392059 6194068 6784118 12388136 13568236 17033687 27136472 34067374 68134748 136269496 620955317 1190809573 1241910634 2381619146 2483821268 4763238292 4967642536 6830508487 9526476584 13098905303 13661016974 26197810606 27322033948 52395621212 54644067896 104791242424 477514638773 955029277546 1910058555092 3820117110184 5252661026503 10505322053006 21010644106012 42021288212024