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10414330015152 = 2437223319003697
BaseRepresentation
bin1001011110001100011001…
…1100001110110110110000
31100212121012120020211002010
42113203012130032312300
52331112021440441102
634052135511122520
72123260543354200
oct227430634166660
940777176224063
1010414330015152
113355768879948
12120244a073440
135a70b458236b
142800b0552400
15130d7990bd6c
hex978c670edb0

10414330015152 has 120 divisors (see below), whose sum is σ = 31430444166576. Its totient is φ = 2962752221184.

The previous prime is 10414330015139. The next prime is 10414330015153. The reversal of 10414330015152 is 25151003341401.

10414330015152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10414330015153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8953833 + ... + 10049864.

Almost surely, 210414330015152 is an apocalyptic number.

10414330015152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10414330015152 is an abundant number, since it is smaller than the sum of its proper divisors (21016114151424).

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

10414330015152 is a wasteful number, since it uses less digits than its factorization.

10414330015152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19003955 (or 19003942 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 10414330015152 its reverse (25151003341401), we get a palindrome (35565333356553).

The spelling of 10414330015152 in words is "ten trillion, four hundred fourteen billion, three hundred thirty million, fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 233 294 336 392 466 588 699 784 932 1176 1398 1631 1864 2352 2796 3262 3728 4893 5592 6524 9786 11184 11417 13048 19572 22834 26096 34251 39144 45668 68502 78288 91336 137004 182672 274008 548016 19003697 38007394 57011091 76014788 114022182 133025879 152029576 228044364 266051758 304059152 399077637 456088728 532103516 798155274 912177456 931181153 1064207032 1596310548 1862362306 2128414064 2793543459 3192621096 3724724612 4427861401 5587086918 6385242192 7449449224 8855722802 11174173836 13283584203 14898898448 17711445604 22348347672 26567168406 30995029807 35422891208 44696695344 53134336812 61990059614 70845782416 92985089421 106268673624 123980119228 185970178842 212537347248 216965208649 247960238456 371940357684 433930417298 495920476912 650895625947 743880715368 867860834596 1301791251894 1487761430736 1735721669192 2603582503788 3471443338384 5207165007576 10414330015152