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3149406498 = 237231271157
BaseRepresentation
bin1011101110111000…
…0010000100100010
322010111011102112010
42323232002010202
522422222001443
61240302413350
7141021341100
oct27356020442
98114142463
103149406498
111376837797
1273a891256
133b2636254
1421c3b8c70
15136757733
hexbbb82122

3149406498 has 144 divisors (see below), whose sum is σ = 7726715712. Its totient is φ = 853070400.

The previous prime is 3149406497. The next prime is 3149406521. The reversal of 3149406498 is 8946049413.

It is a happy number.

It is a super-2 number, since 2×31494064982 = 19837522579289248008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3149406497) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20059836 + ... + 20059992.

It is an arithmetic number, because the mean of its divisors is an integer number (53657748).

Almost surely, 23149406498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3149406498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863357856).

3149406498 is an abundant number, since it is smaller than the sum of its proper divisors (4577309214).

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

3149406498 is a wasteful number, since it uses less digits than its factorization.

3149406498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 3149406498 is about 56119.5732164813. The cubic root of 3149406498 is about 1465.8051382357.

The spelling of 3149406498 in words is "three billion, one hundred forty-nine million, four hundred six thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 71 93 98 142 147 157 186 213 217 294 314 426 434 471 497 651 942 961 994 1099 1302 1491 1519 1922 2198 2201 2883 2982 3038 3297 3479 4402 4557 4867 5766 6594 6603 6727 6958 7693 9114 9734 10437 11147 13206 13454 14601 15386 15407 20181 20874 22294 23079 29202 30814 33441 34069 40362 46158 46221 47089 66882 68138 68231 78029 92442 94178 102207 107849 136462 141267 150877 156058 204414 204693 215698 234087 238483 282534 301754 323547 345557 409386 452631 468174 476966 477617 546203 647094 691114 715449 905262 955234 1036671 1056139 1092406 1430898 1432851 1638609 2073342 2112278 2418899 2865702 3168417 3277218 3343319 4837798 6336834 6686638 7256697 7392973 10029957 10712267 14513394 14785946 16932293 20059914 21424534 22178919 32136801 33864586 44357838 50796879 64273602 74985869 101593758 149971738 224957607 449915214 524901083 1049802166 1574703249 3149406498