Search a number
-
+
154900996040 = 23571733319661
BaseRepresentation
bin1001000001000011010…
…0011001111111001000
3112210211022112220112102
42100100310121333020
510014214123333130
6155054401532532
714122406512310
oct2202064317710
9483738486472
10154900996040
115a769634aaa
1226030044148
13117b7a55a0b
1476d6640440
154068ecb645
hex2410d19fc8

154900996040 has 128 divisors (see below), whose sum is σ = 401871179520. Its totient is φ = 52636953600.

The previous prime is 154900996037. The next prime is 154900996043. The reversal of 154900996040 is 40699009451.

It is an interprime number because it is at equal distance from previous prime (154900996037) and next prime (154900996043).

It is not an unprimeable number, because it can be changed into a prime (154900996043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16028810 + ... + 16038470.

It is an arithmetic number, because the mean of its divisors is an integer number (3139618590).

Almost surely, 2154900996040 is an apocalyptic number.

154900996040 is a gapful number since it is divisible by the number (10) 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 154900996040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200935589760).

154900996040 is an abundant number, since it is smaller than the sum of its proper divisors (246970183480).

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

154900996040 is a wasteful number, since it uses less digits than its factorization.

154900996040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10183 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 47.

The spelling of 154900996040 in words is "one hundred fifty-four billion, nine hundred million, nine hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 173 280 331 346 662 692 865 1211 1324 1384 1655 1730 2317 2422 2648 3310 3460 4634 4844 6055 6620 6920 9268 9661 9688 11585 12110 13240 18536 19322 23170 24220 38644 46340 48305 48440 57263 67627 77288 92680 96610 114526 135254 193220 229052 270508 286315 338135 386440 400841 458104 541016 572630 676270 801682 1145260 1352540 1603364 1671353 2004205 2290520 2705080 3197791 3206728 3342706 4008410 6395582 6685412 8016820 8356765 11699471 12791164 13370824 15988955 16033640 16713530 22384537 23398942 25582328 31977910 33427060 44769074 46797884 58497355 63955820 66854120 89538148 93595768 111922685 116994710 127911640 179076296 223845370 233989420 447690740 467978840 553217843 895381480 1106435686 2212871372 2766089215 3872524901 4425742744 5532178430 7745049802 11064356860 15490099604 19362624505 22128713720 30980199208 38725249010 77450498020 154900996040