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42010433401024 = 2611592310074947
BaseRepresentation
bin10011000110101010100001…
…11101011011000011000000
312111202011021100001112211201
421203111100331123003000
521001244331422313044
6225203154321150544
711564103463020424
oct1143252075330300
9174664240045751
1042010433401024
1112427585499530
124865aa118b454
131a5974a5538ba
14a5345c8a8b84
154ccbc3b677d4
hex263550f5b0c0

42010433401024 has 56 divisors (see below), whose sum is σ = 90958403734848. Its totient is φ = 19092425667840.

The previous prime is 42010433401003. The next prime is 42010433401033.

42010433401024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42010433400983 and 42010433401001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 867682 + ... + 9207265.

Almost surely, 242010433401024 is an apocalyptic number.

42010433401024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42010433401024 is an abundant number, since it is smaller than the sum of its proper divisors (48947970333824).

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

42010433401024 is a wasteful number, since it uses less digits than its factorization.

42010433401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10080893 (or 10080883 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4201043 and 3401024, that added together give a palindrome (7602067).

The spelling of 42010433401024 in words is "forty-two trillion, ten billion, four hundred thirty-three million, four hundred one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 5923 11846 23692 47384 65153 94768 130306 189536 260612 379072 521224 1042448 2084896 4169792 10074947 20149894 40299788 80599576 110824417 161199152 221648834 322398304 443297668 644796608 886595336 1773190672 3546381344 7092762688 59673911081 119347822162 238695644324 477391288648 656413021891 954782577296 1312826043782 1909565154592 2625652087564 3819130309184 5251304175128 10502608350256 21005216700512 42010433401024