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8424072140 = 2251167751761
BaseRepresentation
bin1111101100001110…
…10010001111001100
3210202002101012111212
413312013102033030
5114223030302030
63511525033552
7415520301041
oct76607221714
923662335455
108424072140
1136331950a0
1217712558b8
13a43362493
1459cb371c8
15344866595
hex1f61d23cc

8424072140 has 96 divisors (see below), whose sum is σ = 19638678528. Its totient is φ = 3009600000.

The previous prime is 8424072133. The next prime is 8424072191. The reversal of 8424072140 is 412704248.

It is a junction number, because it is equal to n+sod(n) for n = 8424072097 and 8424072106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11069360 + ... + 11070120.

It is an arithmetic number, because the mean of its divisors is an integer number (204569568).

Almost surely, 28424072140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8424072140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9819339264).

8424072140 is an abundant number, since it is smaller than the sum of its proper divisors (11214606388).

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

8424072140 is a wasteful number, since it uses less digits than its factorization.

8424072140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 8424072140 is about 91782.7442387729. The cubic root of 8424072140 is about 2034.7326740064.

Adding to 8424072140 its reverse (412704248), we get a palindrome (8836776388).

The spelling of 8424072140 in words is "eight billion, four hundred twenty-four million, seventy-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 751 761 1340 1474 1502 1522 2948 3004 3044 3685 3755 3805 7370 7510 7610 8261 8371 14740 15020 15220 16522 16742 33044 33484 41305 41855 50317 50987 82610 83710 100634 101974 165220 167420 201268 203948 251585 254935 503170 509870 553487 560857 571511 1006340 1019740 1106974 1121714 1143022 2213948 2243428 2286044 2767435 2804285 2857555 5534870 5608570 5715110 6286621 11069740 11217140 11430220 12573242 25146484 31433105 38291237 62866210 76582474 125732420 153164948 191456185 382912370 421203607 765824740 842407214 1684814428 2106018035 4212036070 8424072140