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4211413102032 = 243793972797493
BaseRepresentation
bin111101010010001011110…
…010000010110111010000
3112220121101121202001010020
4331102023302002313100
51022444433223231112
612542410234303440
7613156512504063
oct75221362026720
915817347661106
104211413102032
1113840609a52a4
12580249887b80
132471997c0306
14107b951068da
15748363be48c
hex3d48bc82dd0

4211413102032 has 80 divisors (see below), whose sum is σ = 11044953911040. Its totient is φ = 1382542926336.

The previous prime is 4211413102031. The next prime is 4211413102033. The reversal of 4211413102032 is 2302013141124.

It is an interprime number because it is at equal distance from previous prime (4211413102031) and next prime (4211413102033).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4211413101993 and 4211413102011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211413102031) 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, 106678 + ... + 2904170.

It is an arithmetic number, because the mean of its divisors is an integer number (138061923888).

Almost surely, 24211413102032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211413102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522476955520).

4211413102032 is an abundant number, since it is smaller than the sum of its proper divisors (6833540809008).

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

4211413102032 is a wasteful number, since it uses less digits than its factorization.

4211413102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797980 (or 2797974 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4211413102032 its reverse (2302013141124), we get a palindrome (6513426243156).

The spelling of 4211413102032 in words is "four trillion, two hundred eleven billion, four hundred thirteen million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 397 474 632 794 948 1191 1264 1588 1896 2382 3176 3792 4764 6352 9528 19056 31363 62726 94089 125452 188178 250904 376356 501808 752712 1505424 2797493 5594986 8392479 11189972 16784958 22379944 33569916 44759888 67139832 134279664 221001947 442003894 663005841 884007788 1110604721 1326011682 1768015576 2221209442 2652023364 3331814163 3536031152 4442418884 5304046728 6663628326 8884837768 10608093456 13327256652 17769675536 26654513304 53309026608 87737772959 175475545918 263213318877 350951091836 526426637754 701902183672 1052853275508 1403804367344 2105706551016 4211413102032