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40890296832 = 293711345731
BaseRepresentation
bin100110000101010000…
…000110101000000000
310220112201022022011020
4212011100012220000
51132220403444312
630441300545440
72645204534250
oct460520065000
9126481268136
1040890296832
1116383563250
127b120b2280
133b1865c518
141d9c91d960
1510e4c4878c
hex985406a00

40890296832 has 160 divisors (see below), whose sum is σ = 135814593024. Its totient is φ = 10620825600.

The previous prime is 40890296831. The next prime is 40890296851. The reversal of 40890296832 is 23869209804.

It is not an unprimeable number, because it can be changed into a prime (40890296831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54594 + ... + 291137.

Almost surely, 240890296832 is an apocalyptic number.

40890296832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40890296832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67907296512).

40890296832 is an abundant number, since it is smaller than the sum of its proper divisors (94924296192).

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

40890296832 is a wasteful number, since it uses less digits than its factorization.

40890296832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345770 (or 345754 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 40890296832 in words is "forty billion, eight hundred ninety million, two hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 512 528 616 672 704 768 896 924 1056 1232 1344 1408 1536 1792 1848 2112 2464 2688 2816 3584 3696 4224 4928 5376 5632 7392 8448 9856 10752 14784 16896 19712 29568 39424 59136 118272 345731 691462 1037193 1382924 2074386 2420117 2765848 3803041 4148772 4840234 5531696 7260351 7606082 8297544 9680468 11063392 11409123 14520702 15212164 16595088 19360936 22126784 22818246 26621287 29041404 30424328 33190176 38721872 44253568 45636492 53242574 58082808 60848656 66380352 77443744 79863861 88507136 91272984 106485148 116165616 121697312 132760704 154887488 159727722 177014272 182545968 212970296 232331232 243394624 265521408 309774976 319455444 365091936 425940592 464662464 486789248 531042816 619549952 638910888 730183872 851881184 929324928 973578496 1239099904 1277821776 1460367744 1703762368 1858649856 1947156992 2555643552 2920735488 3407524736 3717299712 5111287104 5841470976 6815049472 10222574208 13630098944 20445148416 40890296832