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424321020240 = 243513199368239
BaseRepresentation
bin1100010110010111000…
…00001111000101010000
31111120020122212012200020
412023023200033011100
523423002140121430
6522532544023440
742441033106365
oct6131340170520
91446218765606
10424321020240
11153a54176927
126a2a0301b80
13310232b5090
14167742c446c
15b086b9bb10
hex62cb80f150

424321020240 has 160 divisors (see below), whose sum is σ = 1417310952960. Its totient is φ = 104394313728.

The previous prime is 424321020223. The next prime is 424321020259. The reversal of 424321020240 is 42020123424.

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 424321020240.

It is a congruent number.

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, 6184041 + ... + 6252279.

It is an arithmetic number, because the mean of its divisors is an integer number (8858193456).

Almost surely, 2424321020240 is an apocalyptic number.

424321020240 is a gapful number since it is divisible by the number (40) 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 424321020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708655476480).

424321020240 is an abundant number, since it is smaller than the sum of its proper divisors (992989932720).

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

424321020240 is a wasteful number, since it uses less digits than its factorization.

424321020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70261 (or 70255 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 424321020240 its reverse (42020123424), we get a palindrome (466341143664).

The spelling of 424321020240 in words is "four hundred twenty-four billion, three hundred twenty-one million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 1993 3120 3986 5979 7972 9965 11958 15944 19930 23916 25909 29895 31888 39860 47832 51818 59790 68239 77727 79720 95664 103636 119580 129545 136478 155454 159440 204717 207272 239160 259090 272956 310908 341195 388635 409434 414544 478320 518180 545912 621816 682390 777270 818868 887107 1023585 1036360 1091824 1243632 1364780 1554540 1637736 1774214 2047170 2072720 2661321 2729560 3109080 3275472 3548428 4094340 4435535 5322642 5459120 6218160 7096856 8188680 8871070 10645284 13306605 14193712 16377360 17742140 21290568 26613210 35484280 42581136 53226420 70968560 106452840 136000327 212905680 272000654 408000981 544001308 680001635 816001962 1088002616 1360003270 1632003924 1768004251 2040004905 2176005232 2720006540 3264007848 3536008502 4080009810 5304012753 5440013080 6528015696 7072017004 8160019620 8840021255 10608025506 10880026160 14144034008 16320039240 17680042510 21216051012 26520063765 28288068016 32640078480 35360085020 42432102024 53040127530 70720170040 84864204048 106080255060 141440340080 212160510120 424321020240