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21035501440 = 2751131811607
BaseRepresentation
bin10011100101110100…
…000100011110000000
32000022000000012011221
4103211310010132000
5321040042021230
613355155444424
71343164545352
oct234564043600
960260005157
1021035501440
118a14aa0638
1240b08b6714
131ca3094b95
141037a350d2
15831b1127a
hex4e5d04780

21035501440 has 128 divisors (see below), whose sum is σ = 51045059520. Its totient is φ = 8288501760.

The previous prime is 21035501323. The next prime is 21035501441. The reversal of 21035501440 is 4410553012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21035501441) 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, 13089117 + ... + 13090723.

Almost surely, 221035501440 is an apocalyptic number.

21035501440 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 21035501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25522529760).

21035501440 is an abundant number, since it is smaller than the sum of its proper divisors (30009558080).

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

21035501440 is a wasteful number, since it uses less digits than its factorization.

21035501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 21035501440 in words is "twenty-one billion, thirty-five million, five hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 181 226 320 362 452 565 640 724 904 905 1130 1448 1607 1808 1810 2260 2896 3214 3616 3620 4520 5792 6428 7232 7240 8035 9040 11584 12856 14464 14480 16070 18080 20453 23168 25712 28960 32140 36160 40906 51424 57920 64280 72320 81812 102265 102848 115840 128560 163624 181591 204530 205696 257120 290867 327248 363182 409060 514240 581734 654496 726364 818120 907955 1028480 1163468 1308992 1452728 1454335 1636240 1815910 2326936 2617984 2905456 2908670 3272480 3631820 4653872 5810912 5817340 6544960 7263640 9307744 11621824 11634680 13089920 14527280 18615488 23243648 23269360 29054560 32867971 37230976 46538720 58109120 65735942 93077440 116218240 131471884 164339855 186154880 262943768 328679710 525887536 657359420 1051775072 1314718840 2103550144 2629437680 4207100288 5258875360 10517750720 21035501440