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23431603440 = 2435735339511
BaseRepresentation
bin10101110100101000…
…011110010011110000
32020110222200210012110
4111310220132103300
5340441442302230
614433032325320
71456441225440
oct256450362360
966428623173
1023431603440
119a34590523
12465b243840
13229561750b
1411c3d5c120
159221674b0
hex574a1e4f0

23431603440 has 160 divisors (see below), whose sum is σ = 83252100096. Its totient is φ = 5340487680.

The previous prime is 23431603411. The next prime is 23431603457. The reversal of 23431603440 is 4430613432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23431603398 and 23431603407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573285 + ... + 612795.

Almost surely, 223431603440 is an apocalyptic number.

23431603440 is a gapful number since it is divisible by the number (20) 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 23431603440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41626050048).

23431603440 is an abundant number, since it is smaller than the sum of its proper divisors (59820496656).

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

23431603440 is a wasteful number, since it uses less digits than its factorization.

23431603440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39887 (or 39881 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 23431603440 in words is "twenty-three billion, four hundred thirty-one million, six hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 353 420 560 706 840 1059 1412 1680 1765 2118 2471 2824 3530 4236 4942 5295 5648 7060 7413 8472 9884 10590 12355 14120 14826 16944 19768 21180 24710 28240 29652 37065 39511 39536 42360 49420 59304 74130 79022 84720 98840 118533 118608 148260 158044 197555 197680 237066 276577 296520 316088 395110 474132 553154 592665 593040 632176 790220 829731 948264 1106308 1185330 1382885 1580440 1659462 1896528 2212616 2370660 2765770 3160880 3318924 4148655 4425232 4741320 5531540 6637848 8297310 9482640 11063080 13275696 13947383 16594620 22126160 27894766 33189240 41842149 55789532 66378480 69736915 83684298 97631681 111579064 139473830 167368596 195263362 209210745 223158128 278947660 292895043 334737192 390526724 418421490 488158405 557895320 585790086 669474384 781053448 836842980 976316810 1115790640 1171580172 1464475215 1562106896 1673685960 1952633620 2343160344 2928950430 3347371920 3905267240 4686320688 5857900860 7810534480 11715801720 23431603440