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1140004214140 = 2251117217930233
BaseRepresentation
bin10000100101101101100…
…010111101010101111100
311000222112212001101221111
4100211231202331111330
5122134212034323030
62231413302411404
7145235236636321
oct20455542752574
94028485041844
101140004214140
113aa5227281a0
12164b35130b64
138366a9a49bc
143d268450b48
151e9c2a1b62a
hex1096d8bd57c

1140004214140 has 72 divisors (see below), whose sum is σ = 2774309246352. Its totient is φ = 390161848320.

The previous prime is 1140004214047. The next prime is 1140004214149. The reversal of 1140004214140 is 414124000411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140004214149) 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, 8901537 + ... + 9028696.

It is an arithmetic number, because the mean of its divisors is an integer number (38532072866).

Almost surely, 21140004214140 is an apocalyptic number.

1140004214140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140004214140 is an abundant number, since it is smaller than the sum of its proper divisors (1634305032212).

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

1140004214140 is a wasteful number, since it uses less digits than its factorization.

1140004214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17930287 (or 17930268 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1140004214140 its reverse (414124000411), we get a palindrome (1554128214551).

The spelling of 1140004214140 in words is "one trillion, one hundred forty billion, four million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 340 374 578 748 935 1156 1445 1870 2890 3179 3740 5780 6358 12716 15895 31790 63580 17930233 35860466 71720932 89651165 179302330 197232563 304813961 358604660 394465126 609627922 788930252 986162815 1219255844 1524069805 1972325630 3048139610 3352953571 3944651260 5181837337 6096279220 6705907142 10363674674 13411814284 16764767855 20727349348 25909186685 33529535710 51818373370 57000210707 67059071420 103636746740 114000421414 228000842828 285001053535 570002107070 1140004214140