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40023422032 = 24112383139857
BaseRepresentation
bin100101010001100101…
…001111010001010000
310211022022010111111011
4211101211033101100
51123431444001112
630215252500304
72614550321416
oct452145172120
9124268114434
1040023422032
1115a791a63a0
12790b91a694
133a0ab93459
141d197472b6
151093ab1aa7
hex95194f450

40023422032 has 160 divisors (see below), whose sum is σ = 90084234240. Its totient is φ = 17048232960.

The previous prime is 40023422027. The next prime is 40023422041. The reversal of 40023422032 is 23022432004.

It is a super-2 number, since 2×400234220322 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40023421994 and 40023422012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46701348 + ... + 46702204.

It is an arithmetic number, because the mean of its divisors is an integer number (563026464).

Almost surely, 240023422032 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 40023422032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45042117120).

40023422032 is an abundant number, since it is smaller than the sum of its proper divisors (50060812208).

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

40023422032 is a wasteful number, since it uses less digits than its factorization.

40023422032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 40023422032 its reverse (23022432004), we get a palindrome (63045854036).

It can be divided in two parts, 400 and 23422032, that added together give a palindrome (23422432).

The spelling of 40023422032 in words is "forty billion, twenty-three million, four hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 83 88 92 139 166 176 184 253 278 332 368 506 556 664 857 913 1012 1112 1328 1529 1714 1826 1909 2024 2224 3058 3197 3428 3652 3818 4048 6116 6394 6856 7304 7636 9427 11537 12232 12788 13712 14608 15272 18854 19711 20999 23074 24464 25576 30544 35167 37708 39422 41998 46148 51152 70334 71131 75416 78844 83996 92296 119123 126907 140668 142262 150832 157688 167992 184592 216821 238246 253814 265351 281336 284524 315376 335984 433642 476492 507628 530702 562672 569048 782441 867284 952984 1015256 1061404 1138096 1310353 1564882 1636013 1734568 1905968 2030512 2122808 2620706 2739829 2918861 3129764 3272026 3469136 4245616 5241412 5479658 5837722 6259528 6544052 9887209 10482824 10959316 11675444 12519056 13088104 17996143 19774418 20965648 21918632 23350888 26176208 30138119 35992286 39548836 43837264 46701776 60276238 71984572 79097672 108759299 120552476 143969144 158195344 217518598 227405807 241104952 287938288 435037196 454811614 482209904 870074392 909623228 1740148784 1819246456 2501463877 3638492912 5002927754 10005855508 20011711016 40023422032