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21435253440 = 263544635003
BaseRepresentation
bin10011111101101001…
…000000001011000000
32001022212012200211120
4103331221000023000
5322344411102230
613502555512240
71356120435156
oct237551001300
961285180746
1021435253440
1190aa707197
1241a2758680
132037b4a623
141074b733d6
15856c76310
hex4fda402c0

21435253440 has 112 divisors (see below), whose sum is σ = 68085785088. Its totient is φ = 5713644544.

The previous prime is 21435253429. The next prime is 21435253451. The reversal of 21435253440 is 4435253412.

It is an interprime number because it is at equal distance from previous prime (21435253429) and next prime (21435253451).

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, 4281979 + ... + 4286981.

Almost surely, 221435253440 is an apocalyptic number.

21435253440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21435253440 is an abundant number, since it is smaller than the sum of its proper divisors (46650531648).

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

21435253440 is a wasteful number, since it uses less digits than its factorization.

21435253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9486 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 21435253440 in words is "twenty-one billion, four hundred thirty-five million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4463 5003 8926 10006 13389 15009 17852 20012 22315 25015 26778 30018 35704 40024 44630 50030 53556 60036 66945 71408 75045 80048 89260 100060 107112 120072 133890 142816 150090 160096 178520 200120 214224 240144 267780 285632 300180 320192 357040 400240 428448 480288 535560 600360 714080 800480 856896 960576 1071120 1200720 1428160 1600960 2142240 2401440 4284480 4802880 22328389 44656778 66985167 89313556 111641945 133970334 178627112 223283890 267940668 334925835 357254224 446567780 535881336 669851670 714508448 893135560 1071762672 1339703340 1429016896 1786271120 2143525344 2679406680 3572542240 4287050688 5358813360 7145084480 10717626720 21435253440