Search a number
-
+
10334242100440 = 235717349846817
BaseRepresentation
bin1001011001100010000011…
…0101000101010011011000
31100120221111002201012202201
42112120200311011103120
52323304011434203230
633551252453135544
72114424103333366
oct226304065052330
940527432635681
1010334242100440
113324800286185
1211aaa1892a5b4
1359c69017880b
1427a273c50636
1512dc3d8745ca
hex96620d454d8

10334242100440 has 64 divisors (see below), whose sum is σ = 23902546167360. Its totient is φ = 4019647242240.

The previous prime is 10334242100339. The next prime is 10334242100473. The reversal of 10334242100440 is 4400124243301.

It is a junction number, because it is equal to n+sod(n) for n = 10334242100399 and 10334242100408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24716089 + ... + 25130728.

It is an arithmetic number, because the mean of its divisors is an integer number (373477283865).

Almost surely, 210334242100440 is an apocalyptic number.

10334242100440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10334242100440 is an abundant number, since it is smaller than the sum of its proper divisors (13568304066920).

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

10334242100440 is a wasteful number, since it uses less digits than its factorization.

10334242100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49846972 (or 49846968 counting only the distinct ones).

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

Adding to 10334242100440 its reverse (4400124243301), we get a palindrome (14734366343741).

The spelling of 10334242100440 in words is "ten trillion, three hundred thirty-four billion, two hundred forty-two million, one hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 73 142 146 284 292 355 365 568 584 710 730 1420 1460 2840 2920 5183 10366 20732 25915 41464 51830 103660 207320 49846817 99693634 199387268 249234085 398774536 498468170 996936340 1993872680 3539124007 3638817641 7078248014 7277635282 14156496028 14555270564 17695620035 18194088205 28312992056 29110541128 35391240070 36388176410 70782480140 72776352820 141564960280 145552705640 258356052511 516712105022 1033424210044 1291780262555 2066848420088 2583560525110 5167121050220 10334242100440