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40033331442 = 23213261443487
BaseRepresentation
bin100101010010001011…
…000010100011110010
310211022222202221122100
4211102023002203302
51123442013101232
630220245121230
72615030463006
oct452213024362
9124288687570
1040033331442
1115a83854495
1279130b9216
133a0cc52a00
141d1aba6706
1510948bcc7c
hex9522c28f2

40033331442 has 144 divisors (see below), whose sum is σ = 95876059968. Its totient is φ = 12063841920.

The previous prime is 40033331413. The next prime is 40033331453. The reversal of 40033331442 is 24413333004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82203723 + ... + 82204209.

It is an arithmetic number, because the mean of its divisors is an integer number (665805972).

Almost surely, 240033331442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40033331442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47938029984).

40033331442 is an abundant number, since it is smaller than the sum of its proper divisors (55842728526).

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

40033331442 is a wasteful number, since it uses less digits than its factorization.

40033331442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 40033331442 its reverse (24413333004), we get a palindrome (64446664446).

The spelling of 40033331442 in words is "forty billion, thirty-three million, three hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 169 183 234 338 366 443 487 507 549 793 886 974 1014 1098 1329 1461 1521 1586 2379 2658 2922 3042 3987 4383 4758 5759 6331 7137 7974 8766 10309 11518 12662 14274 17277 18993 20618 27023 29707 30927 34554 37986 51831 54046 56979 59414 61854 74867 81069 82303 89121 92781 103662 113958 149734 162138 164606 178242 185562 215741 224601 243207 246909 267363 351299 386191 431482 449202 486414 493818 534726 647223 673803 702598 740727 772382 1053897 1158573 1294446 1347606 1481454 1941669 2107794 2317146 2804633 3161691 3475719 3883338 4566887 5020483 5609266 6323382 6951438 8413899 9133774 10040966 13160201 13700661 15061449 16827798 25241697 26320402 27401322 30122898 36460229 39480603 41101983 45184347 50483394 72920458 78961206 82203966 90368694 109380687 118441809 171082613 218761374 236883618 328142061 342165226 513247839 656284122 1026495678 1539743517 2224073969 3079487034 4448147938 6672221907 13344443814 20016665721 40033331442