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23120435040 = 253567718919
BaseRepresentation
bin10101100010000101…
…011101011101100000
32012200022011210101220
4111202011131131200
5334322312410130
614342115055040
71445642312103
oct254205353540
965608153356
1023120435040
11989497905a
124592ba1480
1322460090c1
1411948bc73a
15904b9e410
hex56215d760

23120435040 has 96 divisors (see below), whose sum is σ = 73916478720. Its totient is φ = 6073419264.

The previous prime is 23120435017. The next prime is 23120435053. The reversal of 23120435040 is 4053402132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23120435040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327300 + ... + 391619.

It is an arithmetic number, because the mean of its divisors is an integer number (769963320).

Almost surely, 223120435040 is an apocalyptic number.

23120435040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23120435040 is an abundant number, since it is smaller than the sum of its proper divisors (50796043680).

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

23120435040 is a wasteful number, since it uses less digits than its factorization.

23120435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719004 (or 718996 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 23120435040 its reverse (4053402132), we get a palindrome (27173837172).

The spelling of 23120435040 in words is "twenty-three billion, one hundred twenty million, four hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 804 1005 1072 1340 1608 2010 2144 2680 3216 4020 5360 6432 8040 10720 16080 32160 718919 1437838 2156757 2875676 3594595 4313514 5751352 7189190 8627028 10783785 11502704 14378380 17254056 21567570 23005408 28756760 34508112 43135140 48167573 57513520 69016224 86270280 96335146 115027040 144502719 172540560 192670292 240837865 289005438 345081120 385340584 481675730 578010876 722513595 770681168 963351460 1156021752 1445027190 1541362336 1926702920 2312043504 2890054380 3853405840 4624087008 5780108760 7706811680 11560217520 23120435040