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40023414420 = 22351129675701
BaseRepresentation
bin100101010001100101…
…001101011010010100
310211022022010010001020
4211101211031122110
51123431443230140
630215252401140
72614550260263
oct452145153224
9124268103036
1040023414420
1115a791a0700
12790b9161b0
133a0ab8cb52
141d197445da
151093aae6d0
hex95194d694

40023414420 has 144 divisors (see below), whose sum is σ = 123328512384. Its totient is φ = 9690912000.

The previous prime is 40023414401. The next prime is 40023414433. The reversal of 40023414420 is 2441432004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7017570 + ... + 7023270.

Almost surely, 240023414420 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 40023414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61664256192).

40023414420 is an abundant number, since it is smaller than the sum of its proper divisors (83305097964).

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

40023414420 is a wasteful number, since it uses less digits than its factorization.

40023414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40023414420 its reverse (2441432004), we get a palindrome (42464846424).

The spelling of 40023414420 in words is "forty billion, twenty-three million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 967 1210 1452 1815 1934 2420 2901 3630 3868 4835 5701 5802 7260 9670 10637 11402 11604 14505 17103 19340 21274 22804 28505 29010 31911 34206 42548 53185 57010 58020 62711 63822 68412 85515 106370 114020 117007 125422 127644 159555 171030 188133 212740 234014 250844 313555 319110 342060 351021 376266 468028 585035 627110 638220 689821 702042 752532 940665 1170070 1254220 1379642 1404084 1755105 1881330 2069463 2340140 2759284 3449105 3510210 3762660 4138926 5512867 6898210 7020420 8277852 10347315 11025734 13796420 16538601 20694630 22051468 27564335 33077202 41389260 55128670 60641537 66154404 82693005 110257340 121283074 165386010 181924611 242566148 303207685 330772020 363849222 606415370 667056907 727698444 909623055 1212830740 1334113814 1819246110 2001170721 2668227628 3335284535 3638492220 4002341442 6670569070 8004682884 10005853605 13341138140 20011707210 40023414420